77024315088 has 480 divisors, whose sum is σ = 266157964800. Its totient is φ = 20295843840.

The previous prime is 77024315077. The next prime is 77024315113. The reversal of 77024315088 is 88051342077.

It is a super-2 number, since 2×77024315088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 247666453 + ... + 247666763.

It is an arithmetic number, because the mean of its divisors is an integer number (554495760).

Almost surely, 2^77024315088 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 77024315088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133078982400).

77024315088 is an abundant number, since it is smaller than the sum of its proper divisors (189133649712).

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

77024315088 is a wasteful number, since it uses less digits than its factorization.

77024315088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 77024315088 in words is "seventy-seven billion, twenty-four million, three hundred fifteen thousand, eighty-eight".