853706880 has 288 divisors, whose sum is σ = 3195805860. Its totient is φ = 209903616.

The previous prime is 853706873. The next prime is 853706897. The reversal of 853706880 is 88607358.

It can be written as a sum of positive squares in 6 ways, for example, as 205291584 + 648415296 = 14328^2 + 25464^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 973002 + ... + 973878.

Almost surely, 2^853706880 is an apocalyptic number.

853706880 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 853706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597902930).

853706880 is an abundant number, since it is smaller than the sum of its proper divisors (2342098980).

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

853706880 is a wasteful number, since it uses less digits than its factorization.

853706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 900 counting only the distinct ones).

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

The square root of 853706880 is about 29218.2627820341. The cubic root of 853706880 is about 948.6432636776.

The spelling of 853706880 in words is "eight hundred fifty-three million, seven hundred six thousand, eight hundred eighty".