856883280 has 240 divisors, whose sum is σ = 3075428160. Its totient is φ = 196669440.

The previous prime is 856883263. The next prime is 856883323. The reversal of 856883280 is 82388658.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 550984 + ... + 552536.

It is an arithmetic number, because the mean of its divisors is an integer number (12814284).

Almost surely, 2^856883280 is an apocalyptic number.

856883280 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 856883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537714080).

856883280 is an abundant number, since it is smaller than the sum of its proper divisors (2218544880).

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

856883280 is a wasteful number, since it uses less digits than its factorization.

856883280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 856883280 is about 29272.5687291020. The cubic root of 856883280 is about 949.8183512342.

The spelling of 856883280 in words is "eight hundred fifty-six million, eight hundred eighty-three thousand, two hundred eighty".