76238400 has 168 divisors, whose sum is σ = 285983680. Its totient is φ = 17418240.

The previous prime is 76238381. The next prime is 76238401. The reversal of 76238400 is 483267.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76238401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32466 + ... + 34734.

Almost surely, 2^76238400 is an apocalyptic number.

76238400 is a gapful number since it is divisible by the number (70) 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 76238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142991840).

76238400 is an abundant number, since it is smaller than the sum of its proper divisors (209745280).

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

76238400 is a wasteful number, since it uses less digits than its factorization.

76238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 76238400 is about 8731.4603589549. The cubic root of 76238400 is about 424.0247997836.

The spelling of 76238400 in words is "seventy-six million, two hundred thirty-eight thousand, four hundred".