7740233480 has 64 divisors (see below), whose sum is σ = 19981088640. Its totient is φ = 2643443712.

The previous prime is 7740233461. The next prime is 7740233489. The reversal of 7740233480 is 843320477.

It is a super-2 number, since 2×7740233480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7740233489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18179 + ... + 125741.

It is an arithmetic number, because the mean of its divisors is an integer number (312204510).

Almost surely, 2^7740233480 is an apocalyptic number.

7740233480 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 7740233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990544320).

7740233480 is an abundant number, since it is smaller than the sum of its proper divisors (12240855160).

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

7740233480 is a wasteful number, since it uses less digits than its factorization.

7740233480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107838 (or 107834 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 7740233480 is about 87978.5967153375. The cubic root of 7740233480 is about 1978.1141687865.

The spelling of 7740233480 in words is "seven billion, seven hundred forty million, two hundred thirty-three thousand, four hundred eighty".