76212800 has 168 divisors, whose sum is σ = 207873600. Its totient is φ = 27371520.

The previous prime is 76212791. The next prime is 76212817. The reversal of 76212800 is 821267.

It is a self number, because there is not a number n which added to its sum of digits gives 76212800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699146 + ... + 699254.

Almost surely, 2^76212800 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 76212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103936800).

76212800 is an abundant number, since it is smaller than the sum of its proper divisors (131660800).

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

76212800 is a wasteful number, since it uses less digits than its factorization.

76212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 76212800 is about 8729.9942726213. The cubic root of 76212800 is about 423.9773335456.

The spelling of 76212800 in words is "seventy-six million, two hundred twelve thousand, eight hundred".