7891515840 has 336 divisors, whose sum is σ = 27416199168. Its totient is φ = 1922199552.

The previous prime is 7891515833. The next prime is 7891515847. The reversal of 7891515840 is 485151987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7891515833) and next prime (7891515847).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7891515840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7891515847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20604289 + ... + 20604671.

Almost surely, 2^7891515840 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 7891515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708099584).

7891515840 is an abundant number, since it is smaller than the sum of its proper divisors (19524683328).

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

7891515840 is a wasteful number, since it uses less digits than its factorization.

7891515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The square root of 7891515840 is about 88834.2042233733. The cubic root of 7891515840 is about 1990.9184787349.

The spelling of 7891515840 in words is "seven billion, eight hundred ninety-one million, five hundred fifteen thousand, eight hundred forty".