7740399360 has 288 divisors, whose sum is σ = 26184130560. Its totient is φ = 1943322624.

The previous prime is 7740399349. The next prime is 7740399391. The reversal of 7740399360 is 639930477.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20209729 + ... + 20210111.

It is an arithmetic number, because the mean of its divisors is an integer number (90917120).

Almost surely, 2^7740399360 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 7740399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092065280).

7740399360 is an abundant number, since it is smaller than the sum of its proper divisors (18443731200).

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

7740399360 is a wasteful number, since it uses less digits than its factorization.

7740399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 7740399360 is about 87979.5394395765. The cubic root of 7740399360 is about 1978.1282995934.

The spelling of 7740399360 in words is "seven billion, seven hundred forty million, three hundred ninety-nine thousand, three hundred sixty".