7890313824 has 72 divisors (see below), whose sum is σ = 22510483632. Its totient is φ = 2621617920.

The previous prime is 7890313811. The next prime is 7890313831. The reversal of 7890313824 is 4283130987.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7890313824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45522 + ... + 133614.

It is an arithmetic number, because the mean of its divisors is an integer number (312645606).

Almost surely, 2^7890313824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7890313824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255241816).

7890313824 is an abundant number, since it is smaller than the sum of its proper divisors (14620169808).

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

7890313824 is a wasteful number, since it uses less digits than its factorization.

7890313824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88420 (or 88409 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7890313824 is about 88827.4384635739. The cubic root of 7890313824 is about 1990.8173896907.

The spelling of 7890313824 in words is "seven billion, eight hundred ninety million, three hundred thirteen thousand, eight hundred twenty-four".