876491280 has 560 divisors, whose sum is σ = 3708155520. Its totient is φ = 188116992.

The previous prime is 876491251. The next prime is 876491293. The reversal of 876491280 is 82194678.

876491280 is a `hidden beast` number, since 87 + 6 + 491 + 2 + 80 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7756504 + ... + 7756616.

Almost surely, 2^876491280 is an apocalyptic number.

876491280 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 876491280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854077760).

876491280 is an abundant number, since it is smaller than the sum of its proper divisors (2831664240).

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

876491280 is a wasteful number, since it uses less digits than its factorization.

876491280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 876491280 is about 29605.5954170829. The cubic root of 876491280 is about 957.0086574624.

The spelling of 876491280 in words is "eight hundred seventy-six million, four hundred ninety-one thousand, two hundred eighty".