76274400 has 144 divisors (see below), whose sum is σ = 252827568. Its totient is φ = 19968000.

The previous prime is 76274399. The next prime is 76274413. The reversal of 76274400 is 447267.

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

It is a congruent number.

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, 146140 + ... + 146660.

It is an arithmetic number, because the mean of its divisors is an integer number (1755747).

Almost surely, 2^76274400 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 76274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126413784).

76274400 is an abundant number, since it is smaller than the sum of its proper divisors (176553168).

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

76274400 is a wasteful number, since it uses less digits than its factorization.

76274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 76274400 is about 8733.5216264689. The cubic root of 76274400 is about 424.0915312064.

The spelling of 76274400 in words is "seventy-six million, two hundred seventy-four thousand, four hundred".