77400960 has 256 divisors, whose sum is σ = 304335360. Its totient is φ = 16293888.

The previous prime is 77400959. The next prime is 77400977. The reversal of 77400960 is 6900477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174499 + ... + 174941.

It is an arithmetic number, because the mean of its divisors is an integer number (1188810).

Almost surely, 2^77400960 is an apocalyptic number.

77400960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680).

77400960 is an abundant number, since it is smaller than the sum of its proper divisors (226934400).

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

77400960 is a wasteful number, since it uses less digits than its factorization.

77400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 77400960 is about 8797.7815385471. The cubic root of 77400960 is about 426.1692554089.

The spelling of 77400960 in words is "seventy-seven million, four hundred thousand, nine hundred sixty".