878412400 has 30 divisors (see below), whose sum is σ = 2110386752. Its totient is φ = 351364800.

The previous prime is 878412371. The next prime is 878412421. The reversal of 878412400 is 4214878.

It is a super-3 number, since 3×878412400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1097616 + ... + 1098415.

Almost surely, 2^878412400 is an apocalyptic number.

878412400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

878412400 is an abundant number, since it is smaller than the sum of its proper divisors (1231974352).

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

878412400 is a wasteful number, since it uses less digits than its factorization.

878412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196049 (or 2196038 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 878412400 is about 29638.0228760287. The cubic root of 878412400 is about 957.7073473790.

The spelling of 878412400 in words is "eight hundred seventy-eight million, four hundred twelve thousand, four hundred".