856377630 has 128 divisors (see below), whose sum is σ = 2397081600. Its totient is φ = 217147392.

The previous prime is 856377623. The next prime is 856377661. The reversal of 856377630 is 36773658.

856377630 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 7 + 7 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1483902 + ... + 1484478.

It is an arithmetic number, because the mean of its divisors is an integer number (18727200).

Almost surely, 2^856377630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856377630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198540800).

856377630 is an abundant number, since it is smaller than the sum of its proper divisors (1540703970).

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

856377630 is a wasteful number, since it uses less digits than its factorization.

856377630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 856377630 is about 29263.9305288951. The cubic root of 856377630 is about 949.6314840290.

The spelling of 856377630 in words is "eight hundred fifty-six million, three hundred seventy-seven thousand, six hundred thirty".