7712820000 has 630 divisors, whose sum is σ = 29739720087. Its totient is φ = 1967328000.

The previous prime is 7712819993. The next prime is 7712820013. The reversal of 7712820000 is 282177.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1783203984 + 5929616016 = 42228^2 + 77004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62100.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 335339989 + ... + 335340011.

Almost surely, 2^7712820000 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 7712820000

7712820000 is an abundant number, since it is smaller than the sum of its proper divisors (22026900087).

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

7712820000 is an frugal number, since it uses more digits than its factorization.

7712820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7712820000 is about 87822.6622233692. The cubic root of 7712820000 is about 1975.7761196850.

Multiplying 7712820000 by its product of nonzero digits (1568), we get a square (12093701760000 = 3477600²).

The spelling of 7712820000 in words is "seven billion, seven hundred twelve million, eight hundred twenty thousand".