878277120 has 480 divisors, whose sum is σ = 3510739584. Its totient is φ = 182845440.

The previous prime is 878277083. The next prime is 878277131. The reversal of 878277120 is 21772878.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 28331505 + ... + 28331535.

Almost surely, 2^878277120 is an apocalyptic number.

878277120 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 878277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755369792).

878277120 is an abundant number, since it is smaller than the sum of its proper divisors (2632462464).

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

878277120 is a wasteful number, since it uses less digits than its factorization.

878277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 878277120 is about 29635.7405846387. The cubic root of 878277120 is about 957.6581809125.

The spelling of 878277120 in words is "eight hundred seventy-eight million, two hundred seventy-seven thousand, one hundred twenty".