77800686120 has 192 divisors, whose sum is σ = 261945964800. Its totient is φ = 20002752000.

The previous prime is 77800686049. The next prime is 77800686181. The reversal of 77800686120 is 2168600877.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7835479 + ... + 7845401.

It is an arithmetic number, because the mean of its divisors is an integer number (1364301900).

Almost surely, 2^77800686120 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 77800686120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130972982400).

77800686120 is an abundant number, since it is smaller than the sum of its proper divisors (184145278680).

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

77800686120 is a wasteful number, since it uses less digits than its factorization.

77800686120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 77800686120 in words is "seventy-seven billion, eight hundred million, six hundred eighty-six thousand, one hundred twenty".