77893977 has 36 divisors (see below), whose sum is σ = 127939920. Its totient is φ = 41915664.

The previous prime is 77893943. The next prime is 77894021. The reversal of 77893977 is 77939877.

It is not a de Polignac number, because 77893977 - 2¹⁰ = 77892953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (4667544) is a multiple of the sum of its prime divisors (196).

It is not an unprimeable number, because it can be changed into a prime (77893477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466348 + ... + 466514.

Almost surely, 2^77893977 is an apocalyptic number.

It is an amenable number.

77893977 is a deficient number, since it is larger than the sum of its proper divisors (50045943).

77893977 is a wasteful number, since it uses less digits than its factorization.

77893977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 196 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 57.

The square root of 77893977 is about 8825.7564548315. The cubic root of 77893977 is about 427.0721906073.

Multiplying 77893977 by its sum of digits (57), we get a square (4439956689 = 66633²).

77893977 divided by its sum of digits (57) gives a square (1366561 = 1169²).

The spelling of 77893977 in words is "seventy-seven million, eight hundred ninety-three thousand, nine hundred seventy-seven".