76740400 has 120 divisors (see below), whose sum is σ = 204254784. Its totient is φ = 27475200.

The previous prime is 76740383. The next prime is 76740427. The reversal of 76740400 is 404767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470719 + ... + 470881.

Almost surely, 2^76740400 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 76740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102127392).

76740400 is an abundant number, since it is smaller than the sum of its proper divisors (127514384).

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

76740400 is a wasteful number, since it uses less digits than its factorization.

76740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 76740400 is about 8760.1598158938. The cubic root of 76740400 is about 424.9534435738.

The spelling of 76740400 in words is "seventy-six million, seven hundred forty thousand, four hundred".