878006304 has 360 divisors, whose sum is σ = 3114574848. Its totient is φ = 241678080.

The previous prime is 878006279. The next prime is 878006333. The reversal of 878006304 is 403600878.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3937137 + ... + 3937359.

Almost surely, 2^878006304 is an apocalyptic number.

878006304 is a gapful number since it is divisible by the number (84) 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 878006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557287424).

878006304 is an abundant number, since it is smaller than the sum of its proper divisors (2236568544).

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

878006304 is a wasteful number, since it uses less digits than its factorization.

878006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 878006304 is about 29631.1711547148. The cubic root of 878006304 is about 957.5597397663.

The spelling of 878006304 in words is "eight hundred seventy-eight million, six thousand, three hundred four".