76985010 has 96 divisors (see below), whose sum is σ = 215384832. Its totient is φ = 19008000.

The previous prime is 76985009. The next prime is 76985021. The reversal of 76985010 is 1058967.

It is an alternating number because its digits alternate between odd and even.

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 47 ways as a sum of consecutive naturals, for example, 102135 + ... + 102885.

It is an arithmetic number, because the mean of its divisors is an integer number (2243592).

Almost surely, 2^76985010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76985010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107692416).

76985010 is an abundant number, since it is smaller than the sum of its proper divisors (138399822).

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

76985010 is a wasteful number, since it uses less digits than its factorization.

76985010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 76985010 is about 8774.1102112978. The cubic root of 76985010 is about 425.4044776766.

The spelling of 76985010 in words is "seventy-six million, nine hundred eighty-five thousand, ten".