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80400 = 2435267
BaseRepresentation
bin10011101000010000
311002021210
4103220100
510033100
61420120
7453255
oct235020
9132253
1080400
1155451
123a640
132a798
142142c
1518c50
hex13a10

80400 has 60 divisors (see below), whose sum is σ = 261392. Its totient is φ = 21120.

The previous prime is 80387. The next prime is 80407. The reversal of 80400 is 408.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (80407) by changing a digit.

80400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 1233.

280400 is an apocalyptic number.

80400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130696).

80400 is an abundant number, since it is smaller than the sum of its proper divisors (180992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80400 is a wasteful number, since it uses less digits than its factorization.

80400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 80400 is about 283.5489375752. The cubic root of 80400 is about 43.1603889309.

Adding to 80400 its reverse (408), we get a palindrome (80808).

The spelling of 80400 in words is "eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 13400 16080 20100 26800 40200 80400