876576343440 has 1280 divisors, whose sum is σ = 3507615498240. Its totient is φ = 176522526720.

The previous prime is 876576343429. The next prime is 876576343549. The reversal of 876576343440 is 44343675678.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5066915194 + ... + 5066915366.

It is an arithmetic number, because the mean of its divisors is an integer number (2740324608).

Almost surely, 2^876576343440 is an apocalyptic number.

876576343440 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 876576343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753807749120).

876576343440 is an abundant number, since it is smaller than the sum of its proper divisors (2631039154800).

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

876576343440 is a wasteful number, since it uses less digits than its factorization.

876576343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 876576343440 in words is "eight hundred seventy-six billion, five hundred seventy-six million, three hundred forty-three thousand, four hundred forty".