77283908013312 has 2160 divisors, whose sum is σ = 321181515325440. Its totient is φ = 17929938124800.

The previous prime is 77283908013307. The next prime is 77283908013379. The reversal of 77283908013312 is 21331080938277.

77283908013312 is a `hidden beast` number, since 7 + 72 + 83 + 90 + 80 + 1 + 331 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8364959989 + ... + 8364969227.

It is an arithmetic number, because the mean of its divisors is an integer number (148695145984).

Almost surely, 2^{77283908013312} is an apocalyptic number.

77283908013312 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 77283908013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160590757662720).

77283908013312 is an abundant number, since it is smaller than the sum of its proper divisors (243897607312128).

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

77283908013312 is a wasteful number, since it uses less digits than its factorization.

77283908013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 77283908013312 in words is "seventy-seven trillion, two hundred eighty-three billion, nine hundred eight million, thirteen thousand, three hundred twelve".