827004400 has 30 divisors (see below), whose sum is σ = 1986879032. Its totient is φ = 330801600.

The previous prime is 827004359. The next prime is 827004413. The reversal of 827004400 is 4400728.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1033356 + ... + 1034155.

Almost surely, 2^827004400 is an apocalyptic number.

827004400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827004400 is an abundant number, since it is smaller than the sum of its proper divisors (1159874632).

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

827004400 is a wasteful number, since it uses less digits than its factorization.

827004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067529 (or 2067518 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 827004400 is about 28757.6841904907. The cubic root of 827004400 is about 938.6476706171.

The spelling of 827004400 in words is "eight hundred twenty-seven million, four thousand, four hundred".