825713600 has 84 divisors (see below), whose sum is σ = 2050200624. Its totient is φ = 327290880.

The previous prime is 825713597. The next prime is 825713641. The reversal of 825713600 is 6317528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178517 + ... + 183083.

Almost surely, 2^825713600 is an apocalyptic number.

825713600 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 825713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025100312).

825713600 is an abundant number, since it is smaller than the sum of its proper divisors (1224487024).

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

825713600 is a wasteful number, since it uses less digits than its factorization.

825713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 825713600 is about 28735.2327291776. The cubic root of 825713600 is about 938.1590648635.

The spelling of 825713600 in words is "eight hundred twenty-five million, seven hundred thirteen thousand, six hundred".