23120776080 has 400 divisors, whose sum is σ = 83665244784. Its totient is φ = 5912248320.

The previous prime is 23120776079. The next prime is 23120776103. The reversal of 23120776080 is 8067702132.

23120776080 is a `hidden beast` number, since 23 + 1 + 20 + 7 + 7 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4288154256 + 18832621824 = 65484^2 + 137232^2 .

It is a super-4 number, since 4×23120776080⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17501820 + ... + 17503140.

Almost surely, 2^23120776080 is an apocalyptic number.

23120776080 is a gapful number since it is divisible by the number (20) 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 23120776080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41832622392).

23120776080 is an abundant number, since it is smaller than the sum of its proper divisors (60544468704).

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

23120776080 is a wasteful number, since it uses less digits than its factorization.

23120776080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 23120776080 in words is "twenty-three billion, one hundred twenty million, seven hundred seventy-six thousand, eighty".