7712938080 has 288 divisors, whose sum is σ = 27968522400. Its totient is φ = 1928871936.

The previous prime is 7712938073. The next prime is 7712938133. The reversal of 7712938080 is 808392177.

7712938080 is a `hidden beast` number, since 77 + 129 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12460011 + ... + 12460629.

It is an arithmetic number, because the mean of its divisors is an integer number (97112925).

Almost surely, 2^7712938080 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 7712938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984261200).

7712938080 is an abundant number, since it is smaller than the sum of its proper divisors (20255584320).

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

7712938080 is a wasteful number, since it uses less digits than its factorization.

7712938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7712938080 is about 87823.3344846345. The cubic root of 7712938080 is about 1975.7862023981.

The spelling of 7712938080 in words is "seven billion, seven hundred twelve million, nine hundred thirty-eight thousand, eighty".