878351040 has 560 divisors, whose sum is σ = 3682179072. Its totient is φ = 194586624.

The previous prime is 878351021. The next prime is 878351041. The reversal of 878351040 is 40153878.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 878350986 and 878351004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878351041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8527629 + ... + 8527731.

Almost surely, 2^878351040 is an apocalyptic number.

878351040 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 878351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841089536).

878351040 is an abundant number, since it is smaller than the sum of its proper divisors (2803828032).

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

878351040 is a wasteful number, since it uses less digits than its factorization.

878351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 878351040 is about 29636.9877011818. The cubic root of 878351040 is about 957.6850471886.

The spelling of 878351040 in words is "eight hundred seventy-eight million, three hundred fifty-one thousand, forty".