834790320 has 640 divisors, whose sum is σ = 3679764480. Its totient is φ = 169205760.

The previous prime is 834790309. The next prime is 834790339. The reversal of 834790320 is 23097438.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 6093292 + ... + 6093428.

It is an arithmetic number, because the mean of its divisors is an integer number (5749632).

Almost surely, 2^834790320 is an apocalyptic number.

834790320 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 834790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839882240).

834790320 is an abundant number, since it is smaller than the sum of its proper divisors (2844974160).

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

834790320 is a wasteful number, since it uses less digits than its factorization.

834790320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 834790320 is about 28892.7381879946. The cubic root of 834790320 is about 941.5841403474.

The spelling of 834790320 in words is "eight hundred thirty-four million, seven hundred ninety thousand, three hundred twenty".