76740800 has 42 divisors (see below), whose sum is σ = 188834268. Its totient is φ = 30695680.

The previous prime is 76740787. The next prime is 76740821. The reversal of 76740800 is 804767.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22382 + ... + 25581.

It is an arithmetic number, because the mean of its divisors is an integer number (4496054).

Almost surely, 2^76740800 is an apocalyptic number.

It is an amenable number.

76740800 is an abundant number, since it is smaller than the sum of its proper divisors (112093468).

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

76740800 is a wasteful number, since it uses less digits than its factorization.

76740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47985 (or 47970 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 76740800 is about 8760.1826464977. The cubic root of 76740800 is about 424.9541819119.

The spelling of 76740800 in words is "seventy-six million, seven hundred forty thousand, eight hundred".