7672808520 has 192 divisors, whose sum is σ = 26915943600. Its totient is φ = 1884395520.

The previous prime is 7672808497. The next prime is 7672808527. The reversal of 7672808520 is 258082767.

It can be written as a sum of positive squares in 8 ways, for example, as 4192044516 + 3480764004 = 64746^2 + 58998^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7672808527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380510 + ... + 2383730.

Almost surely, 2^7672808520 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 7672808520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13457971800).

7672808520 is an abundant number, since it is smaller than the sum of its proper divisors (19243135080).

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

7672808520 is a wasteful number, since it uses less digits than its factorization.

7672808520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7672808520 is about 87594.5690097280. The cubic root of 7672808520 is about 1972.3536437164.

The spelling of 7672808520 in words is "seven billion, six hundred seventy-two million, eight hundred eight thousand, five hundred twenty".