857551680 has 168 divisors, whose sum is σ = 2968947072. Its totient is φ = 227183616.

The previous prime is 857551657. The next prime is 857551691. The reversal of 857551680 is 86155758.

857551680 is a `hidden beast` number, since 8 + 57 + 5 + 516 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480069 + ... + 481851.

It is an arithmetic number, because the mean of its divisors is an integer number (17672304).

Almost surely, 2^857551680 is an apocalyptic number.

857551680 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 857551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484473536).

857551680 is an abundant number, since it is smaller than the sum of its proper divisors (2111395392).

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

857551680 is a wasteful number, since it uses less digits than its factorization.

857551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 857551680 is about 29283.9833356051. The cubic root of 857551680 is about 950.0652512891.

The spelling of 857551680 in words is "eight hundred fifty-seven million, five hundred fifty-one thousand, six hundred eighty".