76970800 has 60 divisors (see below), whose sum is σ = 185795896. Its totient is φ = 30643200.

The previous prime is 76970791. The next prime is 76970813. The reversal of 76970800 is 807967.

It is a self number, because there is not a number n which added to its sum of digits gives 76970800.

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 11 ways as a sum of consecutive naturals, for example, 134515 + ... + 135085.

Almost surely, 2^76970800 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 76970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897948).

76970800 is an abundant number, since it is smaller than the sum of its proper divisors (108825096).

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

76970800 is a wasteful number, since it uses less digits than its factorization.

76970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 76970800 is about 8773.3004052067. The cubic root of 76970800 is about 425.3783021498.

The spelling of 76970800 in words is "seventy-six million, nine hundred seventy thousand, eight hundred".