825031680 has 352 divisors, whose sum is σ = 3042005760. Its totient is φ = 188743680.

The previous prime is 825031679. The next prime is 825031693. The reversal of 825031680 is 86130528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 3210112 + ... + 3210368.

Almost surely, 2^825031680 is an apocalyptic number.

825031680 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 825031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521002880).

825031680 is an abundant number, since it is smaller than the sum of its proper divisors (2216974080).

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

825031680 is a wasteful number, since it uses less digits than its factorization.

825031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 825031680 is about 28723.3647054101. The cubic root of 825031680 is about 937.9007325055.

The spelling of 825031680 in words is "eight hundred twenty-five million, thirty-one thousand, six hundred eighty".