77772298716 has 288 divisors, whose sum is σ = 251525514240. Its totient is φ = 20520428544.

The previous prime is 77772298697. The next prime is 77772298727. The reversal of 77772298716 is 61789227777.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4529700 + ... + 4546836.

It is an arithmetic number, because the mean of its divisors is an integer number (873352480).

Almost surely, 2^77772298716 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 77772298716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125762757120).

77772298716 is an abundant number, since it is smaller than the sum of its proper divisors (173753215524).

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

77772298716 is a wasteful number, since it uses less digits than its factorization.

77772298716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17215 (or 17201 counting only the distinct ones).

The product of its digits is 29042496, while the sum is 63.

The spelling of 77772298716 in words is "seventy-seven billion, seven hundred seventy-two million, two hundred ninety-eight thousand, seven hundred sixteen".