7740799920 has 240 divisors, whose sum is σ = 30045487680. Its totient is φ = 1749344256.

The previous prime is 7740799879. The next prime is 7740799931. The reversal of 7740799920 is 299970477.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439932 + ... + 457188.

It is an arithmetic number, because the mean of its divisors is an integer number (125189532).

Almost surely, 2^7740799920 is an apocalyptic number.

7740799920 is a gapful number since it is divisible by the number (70) 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 7740799920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022743840).

7740799920 is an abundant number, since it is smaller than the sum of its proper divisors (22304687760).

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

7740799920 is a wasteful number, since it uses less digits than its factorization.

7740799920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17372 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 7740799920 is about 87981.8158485036. The cubic root of 7740799920 is about 1978.1624212353.

The spelling of 7740799920 in words is "seven billion, seven hundred forty million, seven hundred ninety-nine thousand, nine hundred twenty".