856713600 has 288 divisors, whose sum is σ = 3092815440. Its totient is φ = 225792000.

The previous prime is 856713593. The next prime is 856713617. The reversal of 856713600 is 6317658.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4348702 + ... + 4348898.

Almost surely, 2^856713600 is an apocalyptic number.

856713600 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 856713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546407720).

856713600 is an abundant number, since it is smaller than the sum of its proper divisors (2236101840).

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

856713600 is a wasteful number, since it uses less digits than its factorization.

856713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 856713600 is about 29269.6703090417. The cubic root of 856713600 is about 949.7556527622.

The spelling of 856713600 in words is "eight hundred fifty-six million, seven hundred thirteen thousand, six hundred".