816919824 has 80 divisors (see below), whose sum is σ = 2415523968. Its totient is φ = 233051136.

The previous prime is 816919783. The next prime is 816919849. The reversal of 816919824 is 428919618.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286534 + ... + 289370.

Almost surely, 2^816919824 is an apocalyptic number.

816919824 is a gapful number since it is divisible by the number (84) 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 816919824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207761984).

816919824 is an abundant number, since it is smaller than the sum of its proper divisors (1598604144).

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

816919824 is a wasteful number, since it uses less digits than its factorization.

816919824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3706 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 816919824 is about 28581.8093199154. The cubic root of 816919824 is about 934.8167347449.

The spelling of 816919824 in words is "eight hundred sixteen million, nine hundred nineteen thousand, eight hundred twenty-four".