7838280960 has 144 divisors (see below), whose sum is σ = 25336148544. Its totient is φ = 2064941056.

The previous prime is 7838280959. The next prime is 7838280971. The reversal of 7838280960 is 690828387.

It is a super-2 number, since 2×7838280960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306424 + ... + 331016.

It is an arithmetic number, because the mean of its divisors is an integer number (175945476).

Almost surely, 2^7838280960 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 7838280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668074272).

7838280960 is an abundant number, since it is smaller than the sum of its proper divisors (17497867584).

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

7838280960 is a wasteful number, since it uses less digits than its factorization.

7838280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24700 (or 24686 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 7838280960 is about 88534.0666636295. The cubic root of 7838280960 is about 1986.4315703567.

The spelling of 7838280960 in words is "seven billion, eight hundred thirty-eight million, two hundred eighty thousand, nine hundred sixty".