76240120320 has 2560 divisors, whose sum is σ = 380135669760. Its totient is φ = 14014218240.

The previous prime is 76240120283. The next prime is 76240120367. The reversal of 76240120320 is 2302104267.

76240120320 is a `hidden beast` number, since 7 + 624 + 0 + 1 + 2 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2459358705 + ... + 2459358735.

It is an arithmetic number, because the mean of its divisors is an integer number (148490496).

Almost surely, 2^76240120320 is an apocalyptic number.

76240120320 is a gapful number since it is divisible by the number (70) 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 76240120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190067834880).

76240120320 is an abundant number, since it is smaller than the sum of its proper divisors (303895549440).

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

76240120320 is a wasteful number, since it uses less digits than its factorization.

76240120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 76240120320 its reverse (2302104267), we get a palindrome (78542224587).

The spelling of 76240120320 in words is "seventy-six billion, two hundred forty million, one hundred twenty thousand, three hundred twenty".