816897600 has 504 divisors, whose sum is σ = 3183867648. Its totient is φ = 197836800.

The previous prime is 816897577. The next prime is 816897619. The reversal of 816897600 is 6798618.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11505565 + ... + 11505635.

Almost surely, 2^816897600 is an apocalyptic number.

816897600 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 816897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591933824).

816897600 is an abundant number, since it is smaller than the sum of its proper divisors (2366970048).

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

816897600 is a wasteful number, since it uses less digits than its factorization.

816897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 816897600 is about 28581.4205385247. The cubic root of 816897600 is about 934.8082575541.

The spelling of 816897600 in words is "eight hundred sixteen million, eight hundred ninety-seven thousand, six hundred".