7725952080 has 960 divisors, whose sum is σ = 34629783552. Its totient is φ = 1496309760.

The previous prime is 7725952063. The next prime is 7725952081. The reversal of 7725952080 is 802595277.

It is a happy number.

7725952080 is a `hidden beast` number, since 7 + 72 + 59 + 520 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7725952081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93083719 + ... + 93083801.

Almost surely, 2^7725952080 is an apocalyptic number.

7725952080 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 7725952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314891776).

7725952080 is an abundant number, since it is smaller than the sum of its proper divisors (26903831472).

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

7725952080 is a wasteful number, since it uses less digits than its factorization.

7725952080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 7725952080 is about 87897.3951832476. The cubic root of 7725952080 is about 1976.8968225524.

It can be divided in two parts, 7725 and 952080, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 7725952080 in words is "seven billion, seven hundred twenty-five million, nine hundred fifty-two thousand, eighty".