7758880272 has 160 divisors (see below), whose sum is σ = 26164575360. Its totient is φ = 2170298880.

The previous prime is 7758880243. The next prime is 7758880277. The reversal of 7758880272 is 2720888577.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7758880277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023 + ... + 124574.

It is an arithmetic number, because the mean of its divisors is an integer number (163528596).

Almost surely, 2^7758880272 is an apocalyptic number.

7758880272 is a gapful number since it is divisible by the number (72) 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 7758880272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082287680).

7758880272 is an abundant number, since it is smaller than the sum of its proper divisors (18405695088).

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

7758880272 is a wasteful number, since it uses less digits than its factorization.

7758880272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125638 (or 125626 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 7758880272 is about 88084.5064242288. The cubic root of 7758880272 is about 1979.7013691031.

The spelling of 7758880272 in words is "seven billion, seven hundred fifty-eight million, eight hundred eighty thousand, two hundred seventy-two".