76272800 has 72 divisors (see below), whose sum is σ = 189112896. Its totient is φ = 30032640.

The previous prime is 76272797. The next prime is 76272811. The reversal of 76272800 is 827267.

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 11 ways as a sum of consecutive naturals, for example, 52889 + ... + 54311.

It is an arithmetic number, because the mean of its divisors is an integer number (2626568).

Almost surely, 2^76272800 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 76272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556448).

76272800 is an abundant number, since it is smaller than the sum of its proper divisors (112840096).

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

76272800 is a wasteful number, since it uses less digits than its factorization.

76272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1497 counting only the distinct ones).

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

The square root of 76272800 is about 8733.4300249100. The cubic root of 76272800 is about 424.0885658113.

The spelling of 76272800 in words is "seventy-six million, two hundred seventy-two thousand, eight hundred".