76721580 has 120 divisors (see below), whose sum is σ = 259263312. Its totient is φ = 18880128.

The previous prime is 76721573. The next prime is 76721587. The reversal of 76721580 is 8512767.

76721580 is a `hidden beast` number, since 7 + 6 + 72 + 1 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (76721573) and next prime (76721587).

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

It is not an unprimeable number, because it can be changed into a prime (76721587) 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 39 ways as a sum of consecutive naturals, for example, 19239 + ... + 22881.

Almost surely, 2^76721580 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 76721580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129631656).

76721580 is an abundant number, since it is smaller than the sum of its proper divisors (182541732).

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

76721580 is a wasteful number, since it uses less digits than its factorization.

76721580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 76721580 is about 8759.0855687109. The cubic root of 76721580 is about 424.9187018659.

The spelling of 76721580 in words is "seventy-six million, seven hundred twenty-one thousand, five hundred eighty".