815673600 has 729 divisors, whose sum is σ = 3603621567. Its totient is φ = 175472640.

The previous prime is 815673589. The next prime is 815673601. The reversal of 815673600 is 6376518.

The square root of 815673600 is 28560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 796594176 = 4368^2 + 28224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (815673601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47980792 + ... + 47980808.

Almost surely, 2^815673600 is an apocalyptic number.

815673600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

815673600 is the 28560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815673600

815673600 is an abundant number, since it is smaller than the sum of its proper divisors (2787947967).

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

815673600 is a wasteful number, since it uses less digits than its factorization.

815673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 815673600 is about 934.3411336219.

Multiplying 815673600 by its sum of digits (36), we get a square (29364249600 = 171360²).

815673600 divided by its sum of digits (36) gives a square (22657600 = 4760²).

The spelling of 815673600 in words is "eight hundred fifteen million, six hundred seventy-three thousand, six hundred".