Search a number
-
+
80804400 = 24352172233
BaseRepresentation
bin1001101000011…
…11101000110000
312122001021210120
410310033220300
5131141220100
612003530240
72000553225
oct464175060
9178037716
1080804400
11416805a6
1223089980
1313982571
14aa3594c
1571620a0
hex4d0fa30

80804400 has 180 divisors, whose sum is σ = 276145272. Its totient is φ = 20193280.

The previous prime is 80804389. The next prime is 80804429. The reversal of 80804400 is 440808.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346684 + ... + 346916.

Almost surely, 280804400 is an apocalyptic number.

80804400 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 80804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138072636).

80804400 is an abundant number, since it is smaller than the sum of its proper divisors (195340872).

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

80804400 is a wasteful number, since it uses less digits than its factorization.

80804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80804400 is about 8989.1267651536. The cubic root of 80804400 is about 432.3263138115.

The spelling of 80804400 in words is "eighty million, eight hundred four thousand, four hundred".