77088949080 has 256 divisors, whose sum is σ = 273226867200. Its totient is φ = 17153617920.

The previous prime is 77088949079. The next prime is 77088949087. The reversal of 77088949080 is 8094988077.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77088949087) 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 63 ways as a sum of consecutive naturals, for example, 3059092 + ... + 3084188.

It is an arithmetic number, because the mean of its divisors is an integer number (1067292450).

Almost surely, 2^77088949080 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 77088949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136613433600).

77088949080 is an abundant number, since it is smaller than the sum of its proper divisors (196137918120).

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

77088949080 is a wasteful number, since it uses less digits than its factorization.

77088949080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25314 (or 25310 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 77088949080 in words is "seventy-seven billion, eighty-eight million, nine hundred forty-nine thousand, eighty".