9079779434880 has 1536 divisors, whose sum is σ = 39121958016000. Its totient is φ = 1775315189760.

The previous prime is 9079779434851. The next prime is 9079779434909. The reversal of 9079779434880 is 884349779709.

It is an interprime number because it is at equal distance from previous prime (9079779434851) and next prime (9079779434909).

It is a super-2 number, since 2×9079779434880² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2093560072 + ... + 2093564408.

It is an arithmetic number, because the mean of its divisors is an integer number (25470024750).

Almost surely, 2^{9079779434880} 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 9079779434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560979008000).

9079779434880 is an abundant number, since it is smaller than the sum of its proper divisors (30042178581120).

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

9079779434880 is a wasteful number, since it uses less digits than its factorization.

9079779434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 75.

The spelling of 9079779434880 in words is "nine trillion, seventy-nine billion, seven hundred seventy-nine million, four hundred thirty-four thousand, eight hundred eighty".