816935760 has 160 divisors (see below), whose sum is σ = 2839639680. Its totient is φ = 215857152.

The previous prime is 816935759. The next prime is 816935767. The reversal of 816935760 is 67539618.

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 not an unprimeable number, because it can be changed into a prime (816935767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242407 + ... + 245753.

It is an arithmetic number, because the mean of its divisors is an integer number (17747748).

Almost surely, 2^816935760 is an apocalyptic number.

816935760 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 816935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419819840).

816935760 is an abundant number, since it is smaller than the sum of its proper divisors (2022703920).

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

816935760 is a wasteful number, since it uses less digits than its factorization.

816935760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 816935760 is about 28582.0880972682. The cubic root of 816935760 is about 934.8228133270.

The spelling of 816935760 in words is "eight hundred sixteen million, nine hundred thirty-five thousand, seven hundred sixty".