77282394549696 has 1008 divisors, whose sum is σ = 288894637449600. Its totient is φ = 20353035773952.

The previous prime is 77282394549557. The next prime is 77282394549709. The reversal of 77282394549696 is 69694549328277.

77282394549696 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 2 + 3 + 9 + 4 + 549 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×77282394549696² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 535647615 + ... + 535791873.

Almost surely, 2^{77282394549696} is an apocalyptic number.

77282394549696 is a gapful number since it is divisible by the number (76) 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 77282394549696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144447318724800).

77282394549696 is an abundant number, since it is smaller than the sum of its proper divisors (211612242899904).

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

77282394549696 is a wasteful number, since it uses less digits than its factorization.

77282394549696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144356 (or 144327 counting only the distinct ones).

The product of its digits is 9876142080, while the sum is 81.

The spelling of 77282394549696 in words is "seventy-seven trillion, two hundred eighty-two billion, three hundred ninety-four million, five hundred forty-nine thousand, six hundred ninety-six".