77088960 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 18063360.

The previous prime is 77088943. The next prime is 77088967. The reversal of 77088960 is 6988077.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77088967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085725 + ... + 1085795.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^77088960 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 77088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

77088960 is an abundant number, since it is smaller than the sum of its proper divisors (222468480).

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

77088960 is a wasteful number, since it uses less digits than its factorization.

77088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 77088960 is about 8780.0318906027. The cubic root of 77088960 is about 425.5958608526.

The spelling of 77088960 in words is "seventy-seven million, eighty-eight thousand, nine hundred sixty".