856762380 has 192 divisors, whose sum is σ = 2766314880. Its totient is φ = 219967488.

The previous prime is 856762369. The next prime is 856762391. The reversal of 856762380 is 83267658.

856762380 is a `hidden beast` number, since 8 + 567 + 6 + 2 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (856762369) and next prime (856762391).

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

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, 2737104 + ... + 2737416.

It is an arithmetic number, because the mean of its divisors is an integer number (14407890).

Almost surely, 2^856762380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856762380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383157440).

856762380 is an abundant number, since it is smaller than the sum of its proper divisors (1909552500).

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

856762380 is a wasteful number, since it uses less digits than its factorization.

856762380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 856762380 is about 29270.5035829587. The cubic root of 856762380 is about 949.7736783122.

The spelling of 856762380 in words is "eight hundred fifty-six million, seven hundred sixty-two thousand, three hundred eighty".