876402240 has 336 divisors, whose sum is σ = 3346850304. Its totient is φ = 193536000.

The previous prime is 876402217. The next prime is 876402251. The reversal of 876402240 is 42204678.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1457940 + ... + 1458540.

It is an arithmetic number, because the mean of its divisors is an integer number (9960864).

Almost surely, 2^876402240 is an apocalyptic number.

876402240 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 876402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673425152).

876402240 is an abundant number, since it is smaller than the sum of its proper divisors (2470448064).

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

876402240 is a wasteful number, since it uses less digits than its factorization.

876402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 876402240 is about 29604.0916091003. The cubic root of 876402240 is about 956.9762498624.

The spelling of 876402240 in words is "eight hundred seventy-six million, four hundred two thousand, two hundred forty".