77612730273792 has 1248 divisors, whose sum is σ = 275088093606144. Its totient is φ = 21403533312000.

The previous prime is 77612730273769. The next prime is 77612730273803. The reversal of 77612730273792 is 29737203721677.

77612730273792 is a `hidden beast` number, since 7 + 7 + 6 + 1 + 273 + 0 + 273 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27708934792 + ... + 27708937592.

It is an arithmetic number, because the mean of its divisors is an integer number (220423151928).

Almost surely, 2^{77612730273792} is an apocalyptic number.

77612730273792 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 77612730273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137544046803072).

77612730273792 is an abundant number, since it is smaller than the sum of its proper divisors (197475363332352).

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

77612730273792 is an equidigital number, since it uses as much as digits as its factorization.

77612730273792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 65345616, while the sum is 63.

The spelling of 77612730273792 in words is "seventy-seven trillion, six hundred twelve billion, seven hundred thirty million, two hundred seventy-three thousand, seven hundred ninety-two".