777315246010072 has 192 divisors, whose sum is σ = 1839025869408000. Its totient is φ = 301500661397760.

The previous prime is 777315246010033. The next prime is 777315246010073. The reversal of 777315246010072 is 270010642513777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777315246010073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34365577179 + ... + 34365599797.

It is an arithmetic number, because the mean of its divisors is an integer number (9578259736500).

Almost surely, 2^{777315246010072} 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 777315246010072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919512934704000).

777315246010072 is an abundant number, since it is smaller than the sum of its proper divisors (1061710623397928).

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

777315246010072 is a wasteful number, since it uses less digits than its factorization.

777315246010072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45030 (or 45015 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 52.

The spelling of 777315246010072 in words is "seven hundred seventy-seven trillion, three hundred fifteen billion, two hundred forty-six million, ten thousand, seventy-two".