879224976 has 320 divisors, whose sum is σ = 3039805440. Its totient is φ = 238049280.

The previous prime is 879224953. The next prime is 879224977. The reversal of 879224976 is 679422978.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (879224977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7780696 + ... + 7780808.

It is an arithmetic number, because the mean of its divisors is an integer number (9499392).

Almost surely, 2^879224976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879224976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519902720).

879224976 is an abundant number, since it is smaller than the sum of its proper divisors (2160580464).

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

879224976 is a wasteful number, since it uses less digits than its factorization.

879224976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 879224976 is about 29651.7280440786. The cubic root of 879224976 is about 958.0025656491.

The spelling of 879224976 in words is "eight hundred seventy-nine million, two hundred twenty-four thousand, nine hundred seventy-six".