77976960 has 128 divisors (see below), whose sum is σ = 263282400. Its totient is φ = 19562496.

The previous prime is 77976959. The next prime is 77976961. The reversal of 77976960 is 6967977.

It is an interprime number because it is at equal distance from previous prime (77976959) and next prime (77976961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77976961) 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 15 ways as a sum of consecutive naturals, for example, 31446 + ... + 33834.

Almost surely, 2^77976960 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 77976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131641200).

77976960 is an abundant number, since it is smaller than the sum of its proper divisors (185305440).

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

77976960 is a wasteful number, since it uses less digits than its factorization.

77976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 51.

The square root of 77976960 is about 8830.4563868466. The cubic root of 77976960 is about 427.2237947722.

The spelling of 77976960 in words is "seventy-seven million, nine hundred seventy-six thousand, nine hundred sixty".