7923912480 has 720 divisors, whose sum is σ = 31924392192. Its totient is φ = 1847577600.

The previous prime is 7923912473. The next prime is 7923912481. The reversal of 7923912480 is 842193297.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 (7923912481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48612879 + ... + 48613041.

Almost surely, 2^7923912480 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 7923912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962196096).

7923912480 is an abundant number, since it is smaller than the sum of its proper divisors (24000479712).

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

7923912480 is a wasteful number, since it uses less digits than its factorization.

7923912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7923912480 is about 89016.3607434049. The cubic root of 7923912480 is about 1993.6391646670.

It can be divided in two parts, 79239 and 12480, that added together give a palindrome (91719).

The spelling of 7923912480 in words is "seven billion, nine hundred twenty-three million, nine hundred twelve thousand, four hundred eighty".