77993253499392 has 720 divisors, whose sum is σ = 296227606907232. Its totient is φ = 20257970503680.

The previous prime is 77993253499391. The next prime is 77993253499409. The reversal of 77993253499392 is 29399435239977.

77993253499392 is a `hidden beast` number, since 7 + 7 + 9 + 9 + 32 + 5 + 3 + 499 + 3 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (77993253499391) 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, 66478708 + ... + 67641740.

Almost surely, 2^{77993253499392} is an apocalyptic number.

77993253499392 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 77993253499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148113803453616).

77993253499392 is an abundant number, since it is smaller than the sum of its proper divisors (218234353407840).

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

77993253499392 is a wasteful number, since it uses less digits than its factorization.

77993253499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163091 (or 1163056 counting only the distinct ones).

The product of its digits is 6249746160, while the sum is 81.

The spelling of 77993253499392 in words is "seventy-seven trillion, nine hundred ninety-three billion, two hundred fifty-three million, four hundred ninety-nine thousand, three hundred ninety-two".