80634400 has 324 divisors, whose sum is σ = 266502474. Its totient is φ = 23654400.

The previous prime is 80634377. The next prime is 80634401. The reversal of 80634400 is 443608.

It can be written as a sum of positive squares in 3 ways, for example, as 69155856 + 11478544 = 8316^2 + 3388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80634401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4743192 + ... + 4743208.

Almost surely, 2^80634400 is an apocalyptic number.

80634400 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 80634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133251237).

80634400 is an abundant number, since it is smaller than the sum of its proper divisors (185868074).

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

80634400 is a wasteful number, since it uses less digits than its factorization.

80634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 80634400 is about 8979.6659180618. The cubic root of 80634400 is about 432.0229183086.

The spelling of 80634400 in words is "eighty million, six hundred thirty-four thousand, four hundred".