997860800 has 84 divisors (see below), whose sum is σ = 2463774600. Its totient is φ = 397777920.

The previous prime is 997860761. The next prime is 997860817. The reversal of 997860800 is 8068799.

997860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557507 + ... + 559293.

It is an arithmetic number, because the mean of its divisors is an integer number (29330650).

Almost surely, 2^997860800 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 997860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231887300).

997860800 is an abundant number, since it is smaller than the sum of its proper divisors (1465913800).

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

997860800 is a wasteful number, since it uses less digits than its factorization.

997860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 997860800 is about 31588.9347715304. The cubic root of 997860800 is about 999.2864242641.

The spelling of 997860800 in words is "nine hundred ninety-seven million, eight hundred sixty thousand, eight hundred".