72779105880 has 320 divisors, whose sum is σ = 264243672000. Its totient is φ = 17859916800.

The previous prime is 72779105879. The next prime is 72779105887. The reversal of 72779105880 is 8850197727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72779105887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14697405 + ... + 14702355.

It is an arithmetic number, because the mean of its divisors is an integer number (825761475).

Almost surely, 2^72779105880 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 72779105880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132121836000).

72779105880 is an abundant number, since it is smaller than the sum of its proper divisors (191464566120).

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

72779105880 is a wasteful number, since it uses less digits than its factorization.

72779105880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 72779105880 in words is "seventy-two billion, seven hundred seventy-nine million, one hundred five thousand, eight hundred eighty".