77117902848 has 832 divisors, whose sum is σ = 283080960000. Its totient is φ = 20678934528.

The previous prime is 77117902793. The next prime is 77117902861. The reversal of 77117902848 is 84820971177.

It is a super-2 number, since 2×77117902848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77117902794 and 77117902803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720728011 + ... + 720728117.

Almost surely, 2^77117902848 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 77117902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480000).

77117902848 is an abundant number, since it is smaller than the sum of its proper divisors (205963057152).

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

77117902848 is a wasteful number, since it uses less digits than its factorization.

77117902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 77117902848 in words is "seventy-seven billion, one hundred seventeen million, nine hundred two thousand, eight hundred forty-eight".