825081600 has 324 divisors, whose sum is σ = 3171114744. Its totient is φ = 188375040.

The previous prime is 825081589. The next prime is 825081619. The reversal of 825081600 is 6180528.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940362 + ... + 941238.

Almost surely, 2^825081600 is an apocalyptic number.

825081600 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 825081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585557372).

825081600 is an abundant number, since it is smaller than the sum of its proper divisors (2346033144).

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

825081600 is a wasteful number, since it uses less digits than its factorization.

825081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 825081600 is about 28724.2336712400. The cubic root of 825081600 is about 937.9196485712.

The spelling of 825081600 in words is "eight hundred twenty-five million, eighty-one thousand, six hundred".