76942400 has 84 divisors (see below), whose sum is σ = 199369680. Its totient is φ = 29145600.

The previous prime is 76942399. The next prime is 76942409. The reversal of 76942400 is 424967.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (76942409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29135 + ... + 31665.

Almost surely, 2^76942400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99684840).

76942400 is an abundant number, since it is smaller than the sum of its proper divisors (122427280).

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

76942400 is a wasteful number, since it uses less digits than its factorization.

76942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 76942400 is about 8771.6817087717. The cubic root of 76942400 is about 425.3259782819.

The spelling of 76942400 in words is "seventy-six million, nine hundred forty-two thousand, four hundred".