825699720 has 128 divisors (see below), whose sum is σ = 2657059200. Its totient is φ = 204632064.

The previous prime is 825699703. The next prime is 825699731. The reversal of 825699720 is 27996528.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 825699720.

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, 117424 + ... + 124256.

It is an arithmetic number, because the mean of its divisors is an integer number (20758275).

Almost surely, 2^825699720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825699720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328529600).

825699720 is an abundant number, since it is smaller than the sum of its proper divisors (1831359480).

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

825699720 is a wasteful number, since it uses less digits than its factorization.

825699720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 825699720 is about 28734.9912128053. The cubic root of 825699720 is about 938.1538081091.

The spelling of 825699720 in words is "eight hundred twenty-five million, six hundred ninety-nine thousand, seven hundred twenty".