825763207720 has 128 divisors (see below), whose sum is σ = 2064705552000. Its totient is φ = 297180026880.

The previous prime is 825763207691. The next prime is 825763207723. The reversal of 825763207720 is 27702367528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (825763207723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5084331 + ... + 5244229.

It is an arithmetic number, because the mean of its divisors is an integer number (16130512125).

Almost surely, 2^825763207720 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 825763207720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032352776000).

825763207720 is an abundant number, since it is smaller than the sum of its proper divisors (1238942344280).

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

825763207720 is a wasteful number, since it uses less digits than its factorization.

825763207720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160040 (or 160014 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 825763207720 in words is "eight hundred twenty-five billion, seven hundred sixty-three million, two hundred seven thousand, seven hundred twenty".