77397351808000 has 2816 divisors, whose sum is σ = 254075867136000. Its totient is φ = 23410114560000.

The previous prime is 77397351807901. The next prime is 77397351808001. The reversal of 77397351808000 is 80815379377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77397351808001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1060237695964 + ... + 1060237696036.

Almost surely, 2^{77397351808000} is an apocalyptic number.

77397351808000 is a gapful number since it is divisible by the number (70) 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 77397351808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127037933568000).

77397351808000 is an abundant number, since it is smaller than the sum of its proper divisors (176678515328000).

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

77397351808000 is a wasteful number, since it uses less digits than its factorization.

77397351808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 77397351808000 in words is "seventy-seven trillion, three hundred ninety-seven billion, three hundred fifty-one million, eight hundred eight thousand".