77292960 has 96 divisors (see below), whose sum is σ = 244762560. Its totient is φ = 20502528.

The previous prime is 77292953. The next prime is 77292967. The reversal of 77292960 is 6929277.

It is an interprime number because it is at equal distance from previous prime (77292953) and next prime (77292967).

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

It is not an unprimeable number, because it can be changed into a prime (77292967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135556 + ... + 136124.

It is an arithmetic number, because the mean of its divisors is an integer number (2549610).

Almost surely, 2^77292960 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 77292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122381280).

77292960 is an abundant number, since it is smaller than the sum of its proper divisors (167469600).

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

77292960 is a wasteful number, since it uses less digits than its factorization.

77292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 77292960 is about 8791.6414849560. The cubic root of 77292960 is about 425.9709473453.

The spelling of 77292960 in words is "seventy-seven million, two hundred ninety-two thousand, nine hundred sixty".