817790400 has 756 divisors, whose sum is σ = 3617473080. Its totient is φ = 174182400.

The previous prime is 817790377. The next prime is 817790417. The reversal of 817790400 is 4097718.

It is a super-2 number, since 2×817790400² = 1337562276664320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13406370 + ... + 13406430.

Almost surely, 2^817790400 is an apocalyptic number.

817790400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808736540).

817790400 is an abundant number, since it is smaller than the sum of its proper divisors (2799682680).

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

817790400 is a wasteful number, since it uses less digits than its factorization.

817790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 817790400 is about 28597.0348113227. The cubic root of 817790400 is about 935.1486890227.

The spelling of 817790400 in words is "eight hundred seventeen million, seven hundred ninety thousand, four hundred".