77470560 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 20307456.

The previous prime is 77470553. The next prime is 77470573. The reversal of 77470560 is 6507477.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 341167 + ... + 341393.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^77470560 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 77470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

77470560 is an abundant number, since it is smaller than the sum of its proper divisors (198318240).

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

77470560 is a wasteful number, since it uses less digits than its factorization.

77470560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 77470560 is about 8801.7361923657. The cubic root of 77470560 is about 426.2969562108.

The spelling of 77470560 in words is "seventy-seven million, four hundred seventy thousand, five hundred sixty".