77976857 has 16 divisors (see below), whose sum is σ = 90439680. Its totient is φ = 65853648.

The previous prime is 77976823. The next prime is 77976869. The reversal of 77976857 is 75867977.

It is not a de Polignac number, because 77976857 - 2¹⁶ = 77911321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77976887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 212288 + ... + 212654.

It is an arithmetic number, because the mean of its divisors is an integer number (5652480).

Almost surely, 2^77976857 is an apocalyptic number.

It is an amenable number.

77976857 is a deficient number, since it is larger than the sum of its proper divisors (12462823).

77976857 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (77976856) it forms an eRAP, since the sums of their prime factors are consecutive (739 and 740).

77976857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740.

The product of its digits is 5186160, while the sum is 56.

The square root of 77976857 is about 8830.4505547565. The cubic root of 77976857 is about 427.2236066650.

The spelling of 77976857 in words is "seventy-seven million, nine hundred seventy-six thousand, eight hundred fifty-seven".