7933870080 has 480 divisors, whose sum is σ = 30009329280. Its totient is φ = 1981808640.

The previous prime is 7933870073. The next prime is 7933870081. The reversal of 7933870080 is 800783397.

It is a tau number, because it is divible by the number of its divisors (480).

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 (7933870081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37601175 + ... + 37601385.

It is an arithmetic number, because the mean of its divisors is an integer number (62519436).

Almost surely, 2^7933870080 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 7933870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004664640).

7933870080 is an abundant number, since it is smaller than the sum of its proper divisors (22075459200).

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

7933870080 is a wasteful number, since it uses less digits than its factorization.

7933870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7933870080 is about 89072.2744741595. The cubic root of 7933870080 is about 1994.4739186083.

The spelling of 7933870080 in words is "seven billion, nine hundred thirty-three million, eight hundred seventy thousand, eighty".