830376960 has 176 divisors, whose sum is σ = 3035717376. Its totient is φ = 189775872.

The previous prime is 830376949. The next prime is 830376961. The reversal of 830376960 is 69673038.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (830376961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103659 + ... + 111381.

Almost surely, 2^830376960 is an apocalyptic number.

830376960 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 830376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517858688).

830376960 is an abundant number, since it is smaller than the sum of its proper divisors (2205340416).

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

830376960 is a wasteful number, since it uses less digits than its factorization.

830376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 830376960 is about 28816.2620754323. The cubic root of 830376960 is about 939.9218887863.

The spelling of 830376960 in words is "eight hundred thirty million, three hundred seventy-six thousand, nine hundred sixty".