7920924480 has 756 divisors, whose sum is σ = 33366954348. Its totient is φ = 1718599680.

The previous prime is 7920924469. The next prime is 7920924503. The reversal of 7920924480 is 844290297.

It can be written as a sum of positive squares in 6 ways, for example, as 82301184 + 7838623296 = 9072^2 + 88536^2 .

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

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 193193260 + ... + 193193300.

It is an arithmetic number, because the mean of its divisors is an integer number (44136183).

Almost surely, 2^7920924480 is an apocalyptic number.

7920924480 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 7920924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683477174).

7920924480 is an abundant number, since it is smaller than the sum of its proper divisors (25446029868).

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

7920924480 is a wasteful number, since it uses less digits than its factorization.

7920924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7920924480 is about 88999.5757293258. The cubic root of 7920924480 is about 1993.3885417261.

The spelling of 7920924480 in words is "seven billion, nine hundred twenty million, nine hundred twenty-four thousand, four hundred eighty".