825010880 has 56 divisors (see below), whose sum is σ = 1970745360. Its totient is φ = 328965120.

The previous prime is 825010873. The next prime is 825010889. The reversal of 825010880 is 88010528.

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

It is not an unprimeable number, because it can be changed into a prime (825010889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102026 + ... + 109814.

Almost surely, 2^825010880 is an apocalyptic number.

825010880 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 825010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985372680).

825010880 is an abundant number, since it is smaller than the sum of its proper divisors (1145734480).

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

825010880 is a wasteful number, since it uses less digits than its factorization.

825010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 825010880 is about 28723.0026285554. The cubic root of 825010880 is about 937.8928505863.

The spelling of 825010880 in words is "eight hundred twenty-five million, ten thousand, eight hundred eighty".