9079218720 has 1152 divisors, whose sum is σ = 39943507968. Its totient is φ = 1916006400.

The previous prime is 9079218683. The next prime is 9079218727. The reversal of 9079218720 is 278129709.

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 (9079218727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127876285 + ... + 127876355.

It is an arithmetic number, because the mean of its divisors is an integer number (34673184).

Almost surely, 2^9079218720 is an apocalyptic number.

9079218720 is a gapful number since it is divisible by the number (90) 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 9079218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971753984).

9079218720 is an abundant number, since it is smaller than the sum of its proper divisors (30864289248).

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

9079218720 is a wasteful number, since it uses less digits than its factorization.

9079218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 9079218720 is about 95284.9343810447. The cubic root of 9079218720 is about 2086.1690250828.

The spelling of 9079218720 in words is "nine billion, seventy-nine million, two hundred eighteen thousand, seven hundred twenty".