876760320 has 288 divisors, whose sum is σ = 3011057280. Its totient is φ = 216760320.

The previous prime is 876760307. The next prime is 876760351. The reversal of 876760320 is 23067678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4450462 + ... + 4450658.

It is an arithmetic number, because the mean of its divisors is an integer number (10455060).

Almost surely, 2^876760320 is an apocalyptic number.

876760320 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 876760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505528640).

876760320 is an abundant number, since it is smaller than the sum of its proper divisors (2134296960).

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

876760320 is a wasteful number, since it uses less digits than its factorization.

876760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 876760320 is about 29610.1388041326. The cubic root of 876760320 is about 957.1065657457.

The spelling of 876760320 in words is "eight hundred seventy-six million, seven hundred sixty thousand, three hundred twenty".