825731280 has 320 divisors, whose sum is σ = 3239792640. Its totient is φ = 191347200.

The previous prime is 825731273. The next prime is 825731281. The reversal of 825731280 is 82137528.

825731280 is a `hidden beast` number, since 8 + 2 + 573 + 1 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825731281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545725 + ... + 547235.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^825731280 is an apocalyptic number.

825731280 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 825731280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

825731280 is an abundant number, since it is smaller than the sum of its proper divisors (2414061360).

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

825731280 is a wasteful number, since it uses less digits than its factorization.

825731280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 825731280 is about 28735.5403638073. The cubic root of 825731280 is about 938.1657607016.

The spelling of 825731280 in words is "eight hundred twenty-five million, seven hundred thirty-one thousand, two hundred eighty".