876073242240 has 672 divisors, whose sum is σ = 3652873350660. Its totient is φ = 200240087040.

The previous prime is 876073242223. The next prime is 876073242269. The reversal of 876073242240 is 42242370678.

876073242240 is a `hidden beast` number, since 8 + 7 + 607 + 32 + 4 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 875961221184 + 112021056 = 935928^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (672).

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 83 ways as a sum of consecutive naturals, for example, 22842280 + ... + 22880600.

Almost surely, 2^876073242240 is an apocalyptic number.

876073242240 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 876073242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826436675330).

876073242240 is an abundant number, since it is smaller than the sum of its proper divisors (2776800108420).

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

876073242240 is an equidigital number, since it uses as much as digits as its factorization.

876073242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38372 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 876073242240 in words is "eight hundred seventy-six billion, seventy-three million, two hundred forty-two thousand, two hundred forty".