77638889088 has 192 divisors, whose sum is σ = 231462316800. Its totient is φ = 24950016000.

The previous prime is 77638889077. The next prime is 77638889093. The reversal of 77638889088 is 88098883677.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30433413 + ... + 30435963.

It is an arithmetic number, because the mean of its divisors is an integer number (1205532900).

Almost surely, 2^77638889088 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 77638889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115731158400).

77638889088 is an abundant number, since it is smaller than the sum of its proper divisors (153823427712).

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

77638889088 is a wasteful number, since it uses less digits than its factorization.

77638889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 77638889088 in words is "seventy-seven billion, six hundred thirty-eight million, eight hundred eighty-nine thousand, eighty-eight".