816578020 has 48 divisors (see below), whose sum is σ = 1736779968. Its totient is φ = 322474880.

The previous prime is 816577981. The next prime is 816578033. The reversal of 816578020 is 20875618.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594054 + ... + 595426.

It is an arithmetic number, because the mean of its divisors is an integer number (36182916).

Almost surely, 2^816578020 is an apocalyptic number.

It is an amenable number.

816578020 is an abundant number, since it is smaller than the sum of its proper divisors (920201948).

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

816578020 is a wasteful number, since it uses less digits than its factorization.

816578020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 816578020 is about 28575.8292968026. The cubic root of 816578020 is about 934.6863389729.

The spelling of 816578020 in words is "eight hundred sixteen million, five hundred seventy-eight thousand, twenty".