77956960 has 48 divisors (see below), whose sum is σ = 186109056. Its totient is φ = 30855168.

The previous prime is 77956939. The next prime is 77956997. The reversal of 77956960 is 6965977.

It is a super-2 number, since 2×77956960² = 12154575224883200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13009 + ... + 18031.

It is an arithmetic number, because the mean of its divisors is an integer number (3877272).

Almost surely, 2^77956960 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 77956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93054528).

77956960 is an abundant number, since it is smaller than the sum of its proper divisors (108152096).

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

77956960 is a wasteful number, since it uses less digits than its factorization.

77956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The square root of 77956960 is about 8829.3238699234. The cubic root of 77956960 is about 427.1872660056.

The spelling of 77956960 in words is "seventy-seven million, nine hundred fifty-six thousand, nine hundred sixty".