77957856 has 96 divisors (see below), whose sum is σ = 237323520. Its totient is φ = 24849792.

The previous prime is 77957837. The next prime is 77957881. The reversal of 77957856 is 65875977.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17911 + ... + 21833.

It is an arithmetic number, because the mean of its divisors is an integer number (2472120).

Almost surely, 2^77957856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77957856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118661760).

77957856 is an abundant number, since it is smaller than the sum of its proper divisors (159365664).

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

77957856 is a wasteful number, since it uses less digits than its factorization.

77957856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3951 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The square root of 77957856 is about 8829.3746097898. The cubic root of 77957856 is about 427.1889026280.

It can be divided in two parts, 7795 and 7856, that added together give a palindrome (15651).

The spelling of 77957856 in words is "seventy-seven million, nine hundred fifty-seven thousand, eight hundred fifty-six".