878076000 has 144 divisors (see below), whose sum is σ = 3116419488. Its totient is φ = 234144000.

The previous prime is 878075977. The next prime is 878076053. The reversal of 878076000 is 670878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23805 + ... + 48195.

It is an arithmetic number, because the mean of its divisors is an integer number (21641802).

Almost surely, 2^878076000 is an apocalyptic number.

878076000 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 878076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558209744).

878076000 is an abundant number, since it is smaller than the sum of its proper divisors (2238343488).

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

878076000 is a wasteful number, since it uses less digits than its factorization.

878076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24422 (or 24401 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 878076000 is about 29632.3471901907. The cubic root of 878076000 is about 957.5850760756.

The spelling of 878076000 in words is "eight hundred seventy-eight million, seventy-six thousand".