857190880 has 192 divisors, whose sum is σ = 2519330688. Its totient is φ = 268369920.

The previous prime is 857190821. The next prime is 857190907. The reversal of 857190880 is 88091758.

857190880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 857190880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645020 + ... + 1645540.

It is an arithmetic number, because the mean of its divisors is an integer number (13121514).

Almost surely, 2^857190880 is an apocalyptic number.

857190880 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 857190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259665344).

857190880 is an abundant number, since it is smaller than the sum of its proper divisors (1662139808).

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

857190880 is a wasteful number, since it uses less digits than its factorization.

857190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The square root of 857190880 is about 29277.8223233901. The cubic root of 857190880 is about 949.9319914381.

The spelling of 857190880 in words is "eight hundred fifty-seven million, one hundred ninety thousand, eight hundred eighty".