776348762112 has 1296 divisors, whose sum is σ = 3020705246160. Its totient is φ = 196199055360.

The previous prime is 776348762099. The next prime is 776348762113. The reversal of 776348762112 is 211267843677.

776348762112 is a `hidden beast` number, since 7 + 7 + 6 + 3 + 4 + 8 + 7 + 621 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776348762113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20982398958 + ... + 20982398994.

It is an arithmetic number, because the mean of its divisors is an integer number (2330791085).

Almost surely, 2^776348762112 is an apocalyptic number.

776348762112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 776348762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510352623080).

776348762112 is an abundant number, since it is smaller than the sum of its proper divisors (2244356484048).

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

776348762112 is an equidigital number, since it uses as much as digits as its factorization.

776348762112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 776348762112 in words is "seven hundred seventy-six billion, three hundred forty-eight million, seven hundred sixty-two thousand, one hundred twelve".