76713660 has 72 divisors (see below), whose sum is σ = 236208336. Its totient is φ = 20148480.

The previous prime is 76713653. The next prime is 76713667. The reversal of 76713660 is 6631767.

It is an interprime number because it is at equal distance from previous prime (76713653) and next prime (76713667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76713667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8880 + ... + 15240.

Almost surely, 2^76713660 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 76713660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118104168).

76713660 is an abundant number, since it is smaller than the sum of its proper divisors (159494676).

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

76713660 is a wasteful number, since it uses less digits than its factorization.

76713660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76713660 is about 8758.6334550545. The cubic root of 76713660 is about 424.9040798524.

The spelling of 76713660 in words is "seventy-six million, seven hundred thirteen thousand, six hundred sixty".