76368000 has 256 divisors, whose sum is σ = 266048640. Its totient is φ = 19353600.

The previous prime is 76367983. The next prime is 76368031. The reversal of 76368000 is 86367.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775979 + ... + 1776021.

Almost surely, 2^76368000 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 76368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133024320).

76368000 is an abundant number, since it is smaller than the sum of its proper divisors (189680640).

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

76368000 is a wasteful number, since it uses less digits than its factorization.

76368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 76368000 is about 8738.8786465999. The cubic root of 76368000 is about 424.2649346951.

The spelling of 76368000 in words is "seventy-six million, three hundred sixty-eight thousand".