857638080 has 168 divisors, whose sum is σ = 3176973072. Its totient is φ = 211101696.

The previous prime is 857638079. The next prime is 857638097. The reversal of 857638080 is 80836758.

857638080 is a `hidden beast` number, since 8 + 5 + 7 + 638 + 0 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 25987 + ... + 48893.

It is an arithmetic number, because the mean of its divisors is an integer number (18910554).

Almost surely, 2^857638080 is an apocalyptic number.

857638080 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 857638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588486536).

857638080 is an abundant number, since it is smaller than the sum of its proper divisors (2319334992).

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

857638080 is a wasteful number, since it uses less digits than its factorization.

857638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22943 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 857638080 is about 29285.4585075938. The cubic root of 857638080 is about 950.0971571917.

It can be divided in two parts, 8576 and 38080, that added together give a 6-th power (46656 = 6⁶).

The spelling of 857638080 in words is "eight hundred fifty-seven million, six hundred thirty-eight thousand, eighty".