827801400 has 96 divisors (see below), whose sum is σ = 2717169840. Its totient is φ = 207759360.

The previous prime is 827801399. The next prime is 827801411. The reversal of 827801400 is 4108728.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30379 + ... + 50778.

Almost surely, 2^827801400 is an apocalyptic number.

It is an amenable number.

827801400 is an abundant number, since it is smaller than the sum of its proper divisors (1889368440).

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

827801400 is a wasteful number, since it uses less digits than its factorization.

827801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81193 (or 81184 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 827801400 is about 28771.5380193691. The cubic root of 827801400 is about 938.9491047256.

The spelling of 827801400 in words is "eight hundred twenty-seven million, eight hundred one thousand, four hundred".