76509216 has 72 divisors (see below), whose sum is σ = 248661504. Its totient is φ = 21859200.

The previous prime is 76509211. The next prime is 76509227. The reversal of 76509216 is 61290567.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is not an unprimeable number, because it can be changed into a prime (76509211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16960 + ... + 20991.

It is an arithmetic number, because the mean of its divisors is an integer number (3453632).

Almost surely, 2^76509216 is an apocalyptic number.

It is an amenable number.

76509216 is an abundant number, since it is smaller than the sum of its proper divisors (172152288).

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

76509216 is a wasteful number, since it uses less digits than its factorization.

76509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37974 (or 37963 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 76509216 is about 8746.9546700552. The cubic root of 76509216 is about 424.5262837135.

The spelling of 76509216 in words is "seventy-six million, five hundred nine thousand, two hundred sixteen".