77238283898880 has 2288 divisors, whose sum is σ = 318117872726640. Its totient is φ = 17894118260736.

The previous prime is 77238283898857. The next prime is 77238283898959. The reversal of 77238283898880 is 8889838283277.

77238283898880 is a `hidden beast` number, since 7 + 7 + 2 + 3 + 82 + 8 + 389 + 88 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3541141131264 + 73697142767616 = 1881792^2 + 8584704^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 77238283898880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 4543428464632 + ... + 4543428464648.

Almost surely, 2^{77238283898880} 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 77238283898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159058936363320).

77238283898880 is an abundant number, since it is smaller than the sum of its proper divisors (240879588827760).

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

77238283898880 is an frugal number, since it uses more digits than its factorization.

77238283898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 77238283898880 in words is "seventy-seven trillion, two hundred thirty-eight billion, two hundred eighty-three million, eight hundred ninety-eight thousand, eight hundred eighty".