80480400 has 480 divisors, whose sum is σ = 351310848. Its totient is φ = 15206400.

The previous prime is 80480377. The next prime is 80480401. The reversal of 80480400 is 408408.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80480401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1201167 + ... + 1201233.

Almost surely, 2^80480400 is an apocalyptic number.

80480400 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 80480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175655424).

80480400 is an abundant number, since it is smaller than the sum of its proper divisors (270830448).

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

80480400 is a wasteful number, since it uses less digits than its factorization.

80480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

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

The square root of 80480400 is about 8971.0868906727. The cubic root of 80480400 is about 431.7477093423.

Adding to 80480400 its reverse (408408), we get a palindrome (80888808).

It can be divided in two parts, 804 and 80400, that multiplied together give a square (64641600 = 8040²).

The spelling of 80480400 in words is "eighty million, four hundred eighty thousand, four hundred".