97772800 has 54 divisors (see below), whose sum is σ = 242018798. Its totient is φ = 39106560.

The previous prime is 97772777. The next prime is 97772827. The reversal of 97772800 is 827779.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 97772544 = 16^2 + 9888^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1239 + ... + 14038.

Almost surely, 2^97772800 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 97772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121009399).

97772800 is an abundant number, since it is smaller than the sum of its proper divisors (144245998).

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

97772800 is a wasteful number, since it uses less digits than its factorization.

97772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The square root of 97772800 is about 9888.0129449753. The cubic root of 97772800 is about 460.6870640155.

The spelling of 97772800 in words is "ninety-seven million, seven hundred seventy-two thousand, eight hundred".