997785600 has 408 divisors, whose sum is σ = 3900672960. Its totient is φ = 220200960.

The previous prime is 997785583. The next prime is 997785619. The reversal of 997785600 is 6587799.

It is a super-2 number, since 2×997785600² = 1991152207134720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406386 + ... + 34406414.

Almost surely, 2^997785600 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 997785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950336480).

997785600 is an abundant number, since it is smaller than the sum of its proper divisors (2902887360).

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

997785600 is an equidigital number, since it uses as much as digits as its factorization.

997785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 997785600 is about 31587.7444588878. The cubic root of 997785600 is about 999.2613211546.

The spelling of 997785600 in words is "nine hundred ninety-seven million, seven hundred eighty-five thousand, six hundred".