793132830 has 128 divisors (see below), whose sum is σ = 2495324160. Its totient is φ = 175426560.

The previous prime is 793132829. The next prime is 793132853. The reversal of 793132830 is 38231397.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51822 + ... + 65358.

It is an arithmetic number, because the mean of its divisors is an integer number (19494720).

Almost surely, 2^793132830 is an apocalyptic number.

793132830 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 793132830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247662080).

793132830 is an abundant number, since it is smaller than the sum of its proper divisors (1702191330).

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

793132830 is a wasteful number, since it uses less digits than its factorization.

793132830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 793132830 is about 28162.6140477052. The cubic root of 793132830 is about 925.6539150200.

The spelling of 793132830 in words is "seven hundred ninety-three million, one hundred thirty-two thousand, eight hundred thirty".