77120681000 has 192 divisors, whose sum is σ = 198873314640. Its totient is φ = 27971328000.

The previous prime is 77120680997. The next prime is 77120681063. The reversal of 77120681000 is 18602177.

It can be written as a sum of positive squares in 8 ways, for example, as 2256060004 + 74864620996 = 47498^2 + 273614^2 .

It is a super-2 number, since 2×77120681000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74656484 + ... + 74657516.

Almost surely, 2^77120681000 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 77120681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99436657320).

77120681000 is an abundant number, since it is smaller than the sum of its proper divisors (121752633640).

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

77120681000 is a wasteful number, since it uses less digits than its factorization.

77120681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 77120681000 in words is "seventy-seven billion, one hundred twenty million, six hundred eighty-one thousand".