76985800 has 48 divisors (see below), whose sum is σ = 181478340. Its totient is φ = 30366720.

The previous prime is 76985791. The next prime is 76985813. The reversal of 76985800 is 858967.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30008484 + 46977316 = 5478^2 + 6854^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 11964 + ... + 17236.

Almost surely, 2^76985800 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 76985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90739170).

76985800 is an abundant number, since it is smaller than the sum of its proper divisors (104492540).

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

76985800 is a wasteful number, since it uses less digits than its factorization.

76985800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 76985800 is about 8774.1552299922. The cubic root of 76985800 is about 425.4059328014.

The spelling of 76985800 in words is "seventy-six million, nine hundred eighty-five thousand, eight hundred".