878139600 has 240 divisors, whose sum is σ = 3055887744. Its totient is φ = 214272000.

The previous prime is 878139571. The next prime is 878139601. The reversal of 878139600 is 6931878.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×878139600² = 1542258314176320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878139601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823445 + ... + 2823755.

Almost surely, 2^878139600 is an apocalyptic number.

878139600 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 878139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527943872).

878139600 is an abundant number, since it is smaller than the sum of its proper divisors (2177748144).

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

878139600 is a wasteful number, since it uses less digits than its factorization.

878139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 878139600 is about 29633.4203223320. The cubic root of 878139600 is about 957.6081951604.

The spelling of 878139600 in words is "eight hundred seventy-eight million, one hundred thirty-nine thousand, six hundred".