76712240 has 80 divisors (see below), whose sum is σ = 196058880. Its totient is φ = 27682560.

The previous prime is 76712173. The next prime is 76712263. The reversal of 76712240 is 4221767.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157277 + ... + 157763.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2^76712240 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 76712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98029440).

76712240 is an abundant number, since it is smaller than the sum of its proper divisors (119346640).

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

76712240 is a wasteful number, since it uses less digits than its factorization.

76712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 76712240 is about 8758.5523918054. The cubic root of 76712240 is about 424.9014581224.

The spelling of 76712240 in words is "seventy-six million, seven hundred twelve thousand, two hundred forty".