879141978 has 256 divisors, whose sum is σ = 2509678080. Its totient is φ = 223948800.

The previous prime is 879141947. The next prime is 879141979.

879141978 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (879141979) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4857048 + ... + 4857228.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^879141978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879141978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

879141978 is an abundant number, since it is smaller than the sum of its proper divisors (1630536102).

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

879141978 is a wasteful number, since it uses less digits than its factorization.

879141978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 879141978 is about 29650.3284636107. The cubic root of 879141978 is about 957.9724198573.

The spelling of 879141978 in words is "eight hundred seventy-nine million, one hundred forty-one thousand, nine hundred seventy-eight".