97877760 has 144 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 25661440.

The previous prime is 97877723. The next prime is 97877807. The reversal of 97877760 is 6777879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272461 + ... + 272819.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^97877760 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 97877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

97877760 is an abundant number, since it is smaller than the sum of its proper divisors (220005120).

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

97877760 is a wasteful number, since it uses less digits than its factorization.

97877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The square root of 97877760 is about 9893.3189577613. The cubic root of 97877760 is about 460.8518556612.

The spelling of 97877760 in words is "ninety-seven million, eight hundred seventy-seven thousand, seven hundred sixty".