97792000 has 104 divisors (see below), whose sum is σ = 245336832. Its totient is φ = 38912000.

The previous prime is 97791989. The next prime is 97792001. The reversal of 97792000 is 29779.

It is not an unprimeable number, because it can be changed into a prime (97792001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511905 + ... + 512095.

It is an arithmetic number, because the mean of its divisors is an integer number (2359008).

Almost surely, 2^97792000 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 97792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668416).

97792000 is an abundant number, since it is smaller than the sum of its proper divisors (147544832).

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

97792000 is an equidigital number, since it uses as much as digits as its factorization.

97792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 97792000 is about 9888.9837698320. The cubic root of 97792000 is about 460.7172176394.

The spelling of 97792000 in words is "ninety-seven million, seven hundred ninety-two thousand".