777220369416 has 512 divisors, whose sum is σ = 2335372300800. Its totient is φ = 239117598720.

The previous prime is 777220369381. The next prime is 777220369421. The reversal of 777220369416 is 614963022777.

777220369416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1957733730 + ... + 1957734126.

It is an arithmetic number, because the mean of its divisors is an integer number (4561274025).

Almost surely, 2^777220369416 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 777220369416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167686150400).

777220369416 is an abundant number, since it is smaller than the sum of its proper divisors (1558151931384).

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

777220369416 is a wasteful number, since it uses less digits than its factorization.

777220369416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 777220369416 in words is "seven hundred seventy-seven billion, two hundred twenty million, three hundred sixty-nine thousand, four hundred sixteen".