856704000 has 352 divisors, whose sum is σ = 3004275456. Its totient is φ = 216268800.

The previous prime is 856703989. The next prime is 856704011. The reversal of 856704000 is 407658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (856703989) and next prime (856704011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8831952 + ... + 8832048.

Almost surely, 2^856704000 is an apocalyptic number.

856704000 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 856704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502137728).

856704000 is an abundant number, since it is smaller than the sum of its proper divisors (2147571456).

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

856704000 is a wasteful number, since it uses less digits than its factorization.

856704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 856704000 is about 29269.5063163013. The cubic root of 856704000 is about 949.7521052179.

The spelling of 856704000 in words is "eight hundred fifty-six million, seven hundred four thousand".