857926080 has 672 divisors, whose sum is σ = 3594689280. Its totient is φ = 192430080.

The previous prime is 857926073. The next prime is 857926081. The reversal of 857926080 is 80629758.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857926081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14541091 + ... + 14541149.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^857926080 is an apocalyptic number.

857926080 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 857926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797344640).

857926080 is an abundant number, since it is smaller than the sum of its proper divisors (2736763200).

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

857926080 is a wasteful number, since it uses less digits than its factorization.

857926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 857926080 is about 29290.3752109801. The cubic root of 857926080 is about 950.2034947268.

The spelling of 857926080 in words is "eight hundred fifty-seven million, nine hundred twenty-six thousand, eighty".