856742400 has 480 divisors, whose sum is σ = 3277855680. Its totient is φ = 218972160.

The previous prime is 856742347. The next prime is 856742417. The reversal of 856742400 is 4247658.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 12787167 + ... + 12787233.

It is an arithmetic number, because the mean of its divisors is an integer number (6828866).

Almost surely, 2^856742400 is an apocalyptic number.

856742400 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 856742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638927840).

856742400 is an abundant number, since it is smaller than the sum of its proper divisors (2421113280).

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

856742400 is a wasteful number, since it uses less digits than its factorization.

856742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 856742400 is about 29270.1622817503. The cubic root of 856742400 is about 949.7662952361.

The spelling of 856742400 in words is "eight hundred fifty-six million, seven hundred forty-two thousand, four hundred".