830556720 has 320 divisors, whose sum is σ = 3299312640. Its totient is φ = 188116992.

The previous prime is 830556719. The next prime is 830556731. The reversal of 830556720 is 27655038.

830556720 is a `hidden beast` number, since 8 + 30 + 556 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2464392 + ... + 2464728.

It is an arithmetic number, because the mean of its divisors is an integer number (10310352).

Almost surely, 2^830556720 is an apocalyptic number.

830556720 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 830556720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649656320).

830556720 is an abundant number, since it is smaller than the sum of its proper divisors (2468755920).

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

830556720 is a wasteful number, since it uses less digits than its factorization.

830556720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 830556720 is about 28819.3809787788. The cubic root of 830556720 is about 939.9897086545.

It can be divided in two parts, 8305 and 56720, that added together give a square (65025 = 255²).

The spelling of 830556720 in words is "eight hundred thirty million, five hundred fifty-six thousand, seven hundred twenty".