856752400 has 240 divisors, whose sum is σ = 2557336320. Its totient is φ = 269107200.

The previous prime is 856752373. The next prime is 856752437. The reversal of 856752400 is 4257658.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 856752400.

It is a congruent number.

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, 1951381 + ... + 1951819.

It is an arithmetic number, because the mean of its divisors is an integer number (10655568).

Almost surely, 2^856752400 is an apocalyptic number.

856752400 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 856752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

856752400 is an abundant number, since it is smaller than the sum of its proper divisors (1700583920).

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

856752400 is a wasteful number, since it uses less digits than its factorization.

856752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 856752400 is about 29270.3331036734. Note that the first 3 decimals coincide. The cubic root of 856752400 is about 949.7699904837.

The spelling of 856752400 in words is "eight hundred fifty-six million, seven hundred fifty-two thousand, four hundred".