830347793280 has 768 divisors, whose sum is σ = 3097314080640. Its totient is φ = 204236390400.

The previous prime is 830347793279. The next prime is 830347793329. The reversal of 830347793280 is 82397743038.

830347793280 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 477 + 93 + 2 + 80 = 666.

It is a super-2 number, since 2×830347793280² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1117560589 + ... + 1117561331.

Almost surely, 2^830347793280 is an apocalyptic number.

830347793280 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 830347793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548657040320).

830347793280 is an abundant number, since it is smaller than the sum of its proper divisors (2266966287360).

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

830347793280 is a wasteful number, since it uses less digits than its factorization.

830347793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 830347793280 in words is "eight hundred thirty billion, three hundred forty-seven million, seven hundred ninety-three thousand, two hundred eighty".