878010000 has 400 divisors, whose sum is σ = 3356225664. Its totient is φ = 193536000.

The previous prime is 878009987. The next prime is 878010011. The reversal of 878010000 is 10878.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7769944 + ... + 7770056.

Almost surely, 2^878010000 is an apocalyptic number.

878010000 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 878010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678112832).

878010000 is an abundant number, since it is smaller than the sum of its proper divisors (2478215664).

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

878010000 is a wasteful number, since it uses less digits than its factorization.

878010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 878010000 is about 29631.2335214044. The cubic root of 878010000 is about 957.5610833921.

Adding to 878010000 its reverse (10878), we get a palindrome (878020878).

The spelling of 878010000 in words is "eight hundred seventy-eight million, ten thousand".