856074000 has 160 divisors (see below), whose sum is σ = 2806427520. Its totient is φ = 224448000.

The previous prime is 856073969. The next prime is 856074029. The reversal of 856074000 is 470658.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364831 + ... + 367169.

It is an arithmetic number, because the mean of its divisors is an integer number (17540172).

Almost surely, 2^856074000 is an apocalyptic number.

856074000 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 856074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403213760).

856074000 is an abundant number, since it is smaller than the sum of its proper divisors (1950353520).

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

856074000 is a wasteful number, since it uses less digits than its factorization.

856074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2410 counting only the distinct ones).

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

The square root of 856074000 is about 29258.7422832903. The cubic root of 856074000 is about 949.5192396636.

The spelling of 856074000 in words is "eight hundred fifty-six million, seventy-four thousand".