76390965 has 64 divisors (see below), whose sum is σ = 156326400. Its totient is φ = 34670592.

The previous prime is 76390961. The next prime is 76390973. The reversal of 76390965 is 56909367.

76390965 is a `hidden beast` number, since 7 + 639 + 0 + 9 + 6 + 5 = 666.

It is not a de Polignac number, because 76390965 - 2² = 76390961 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 76390965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76390961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216229 + ... + 216581.

It is an arithmetic number, because the mean of its divisors is an integer number (2442600).

Almost surely, 2^76390965 is an apocalyptic number.

It is an amenable number.

76390965 is an abundant number, since it is smaller than the sum of its proper divisors (79935435).

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

76390965 is a wasteful number, since it uses less digits than its factorization.

76390965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 76390965 is about 8740.1925036008. The cubic root of 76390965 is about 424.3074580371.

The spelling of 76390965 in words is "seventy-six million, three hundred ninety thousand, nine hundred sixty-five".