830992680 has 384 divisors, whose sum is σ = 3255033600. Its totient is φ = 179859456.

The previous prime is 830992663. The next prime is 830992693. The reversal of 830992680 is 86299038.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6065572 + ... + 6065708.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2^830992680 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 830992680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627516800).

830992680 is an abundant number, since it is smaller than the sum of its proper divisors (2424040920).

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

830992680 is a wasteful number, since it uses less digits than its factorization.

830992680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 830992680 is about 28826.9436465262. The cubic root of 830992680 is about 940.1541470460.

The spelling of 830992680 in words is "eight hundred thirty million, nine hundred ninety-two thousand, six hundred eighty".