76416580 has 48 divisors (see below), whose sum is σ = 168344064. Its totient is φ = 29082240.

The previous prime is 76416577. The next prime is 76416583. The reversal of 76416580 is 8561467.

It is an interprime number because it is at equal distance from previous prime (76416577) and next prime (76416583).

It is not an unprimeable number, because it can be changed into a prime (76416583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124354 + ... + 124966.

It is an arithmetic number, because the mean of its divisors is an integer number (3507168).

Almost surely, 2^76416580 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 76416580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84172032).

76416580 is an abundant number, since it is smaller than the sum of its proper divisors (91927484).

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

76416580 is a wasteful number, since it uses less digits than its factorization.

76416580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 76416580 is about 8741.6577375232. The cubic root of 76416580 is about 424.3548782215.

The spelling of 76416580 in words is "seventy-six million, four hundred sixteen thousand, five hundred eighty".