76973200 has 60 divisors (see below), whose sum is σ = 186049600. Its totient is φ = 30602880.

The previous prime is 76973173. The next prime is 76973201. The reversal of 76973200 is 237967.

It is not an unprimeable number, because it can be changed into a prime (76973201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79117 + ... + 80083.

Almost surely, 2^76973200 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 76973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93024800).

76973200 is an abundant number, since it is smaller than the sum of its proper divisors (109076400).

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

76973200 is a wasteful number, since it uses less digits than its factorization.

76973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 76973200 is about 8773.4371827694. The cubic root of 76973200 is about 425.3827232952.

The spelling of 76973200 in words is "seventy-six million, nine hundred seventy-three thousand, two hundred".