857904100 has 81 divisors (see below), whose sum is σ = 1947339121. Its totient is φ = 328048000.

The previous prime is 857904077. The next prime is 857904109. The reversal of 857904100 is 1409758.

It is a happy number.

The square root of 857904100 is 29290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 83283876 + 774620224 = 9126^2 + 27832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (857904109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8494050 + ... + 8494150.

Almost surely, 2^857904100 is an apocalyptic number.

857904100 is the 29290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857904100

857904100 is an abundant number, since it is smaller than the sum of its proper divisors (1089435021).

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

857904100 is a wasteful number, since it uses less digits than its factorization.

857904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 857904100 is about 950.1953799441.

The spelling of 857904100 in words is "eight hundred fifty-seven million, nine hundred four thousand, one hundred".