76517628 has 48 divisors (see below), whose sum is σ = 200049024. Its totient is φ = 22559040.

The previous prime is 76517621. The next prime is 76517633. The reversal of 76517628 is 82671567.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76517628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76517621) 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, 2950 + ... + 12717.

It is an arithmetic number, because the mean of its divisors is an integer number (4167688).

Almost surely, 2^76517628 is an apocalyptic number.

It is an amenable number.

76517628 is an abundant number, since it is smaller than the sum of its proper divisors (123531396).

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

76517628 is a wasteful number, since it uses less digits than its factorization.

76517628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15722 (or 15720 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 76517628 is about 8747.4355099080. The cubic root of 76517628 is about 424.5418416833.

The spelling of 76517628 in words is "seventy-six million, five hundred seventeen thousand, six hundred twenty-eight".