7393880160 has 144 divisors (see below), whose sum is σ = 25257960000. Its totient is φ = 1969643520.

The previous prime is 7393880141. The next prime is 7393880161. The reversal of 7393880160 is 610883937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (7393880161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1796505 + ... + 1800615.

It is an arithmetic number, because the mean of its divisors is an integer number (175402500).

Almost surely, 2^7393880160 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 7393880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628980000).

7393880160 is an abundant number, since it is smaller than the sum of its proper divisors (17864079840).

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

7393880160 is a wasteful number, since it uses less digits than its factorization.

7393880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5370 counting only the distinct ones).

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

The square root of 7393880160 is about 85987.6744655884. The cubic root of 7393880160 is about 1948.1578184088.

The spelling of 7393880160 in words is "seven billion, three hundred ninety-three million, eight hundred eighty thousand, one hundred sixty".