77722141360 has 80 divisors (see below), whose sum is σ = 187125344640. Its totient is φ = 29986288640.

The previous prime is 77722141297. The next prime is 77722141363. The reversal of 77722141360 is 6314122777.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (77722141363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333625 + ... + 2366695.

It is an arithmetic number, because the mean of its divisors is an integer number (2339066808).

Almost surely, 2^77722141360 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 77722141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562672320).

77722141360 is an abundant number, since it is smaller than the sum of its proper divisors (109403203280).

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

77722141360 is a wasteful number, since it uses less digits than its factorization.

77722141360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34126 (or 34120 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 77722141360 in words is "seventy-seven billion, seven hundred twenty-two million, one hundred forty-one thousand, three hundred sixty".