77996765 has 48 divisors (see below), whose sum is σ = 124136064. Its totient is φ = 45696000.

The previous prime is 77996717. The next prime is 77996771. The reversal of 77996765 is 56769977.

It is not a de Polignac number, because 77996765 - 2¹⁴ = 77980381 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77996765.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 110915 + ... + 111615.

It is an arithmetic number, because the mean of its divisors is an integer number (2586168).

Almost surely, 2^77996765 is an apocalyptic number.

It is an amenable number.

77996765 is a deficient number, since it is larger than the sum of its proper divisors (46139299).

77996765 is a wasteful number, since it uses less digits than its factorization.

77996765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 741 counting only the distinct ones).

The product of its digits is 5000940, while the sum is 56.

The square root of 77996765 is about 8831.5777186186. The cubic root of 77996765 is about 427.2599612288.

The spelling of 77996765 in words is "seventy-seven million, nine hundred ninety-six thousand, seven hundred sixty-five".