816480768 has 160 divisors (see below), whose sum is σ = 2320655040. Its totient is φ = 254361600.

The previous prime is 816480677. The next prime is 816480779. The reversal of 816480768 is 867084618.

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

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, 2947446 + ... + 2947722.

It is an arithmetic number, because the mean of its divisors is an integer number (14504094).

Almost surely, 2^816480768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160327520).

816480768 is an abundant number, since it is smaller than the sum of its proper divisors (1504174272).

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

816480768 is a wasteful number, since it uses less digits than its factorization.

816480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 816480768 is about 28574.1275982312. The cubic root of 816480768 is about 934.6492313839.

The spelling of 816480768 in words is "eight hundred sixteen million, four hundred eighty thousand, seven hundred sixty-eight".