76193340120 has 192 divisors, whose sum is σ = 258826014720. Its totient is φ = 20157911424.

The previous prime is 76193340073. The next prime is 76193340169. The reversal of 76193340120 is 2104339167.

76193340120 is a `hidden beast` number, since 7 + 6 + 193 + 340 + 120 = 666.

It is a super-3 number, since 3×76193340120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203579 + ... + 1265301.

It is an arithmetic number, because the mean of its divisors is an integer number (1348052160).

Almost surely, 2^76193340120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76193340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129413007360).

76193340120 is an abundant number, since it is smaller than the sum of its proper divisors (182632674600).

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

76193340120 is a wasteful number, since it uses less digits than its factorization.

76193340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61876 (or 61860 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 76193340120 its reverse (2104339167), we get a palindrome (78297679287).

The spelling of 76193340120 in words is "seventy-six billion, one hundred ninety-three million, three hundred forty thousand, one hundred twenty".