76152300336 has 480 divisors, whose sum is σ = 258358464000. Its totient is φ = 21267671040.

The previous prime is 76152300319. The next prime is 76152300337. The reversal of 76152300336 is 63300325167.

76152300336 is a `hidden beast` number, since 7 + 6 + 15 + 2 + 300 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76152300336.

It is not an unprimeable number, because it can be changed into a prime (76152300337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360911271 + ... + 360911481.

It is an arithmetic number, because the mean of its divisors is an integer number (538246800).

Almost surely, 2^76152300336 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 76152300336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179232000).

76152300336 is an abundant number, since it is smaller than the sum of its proper divisors (182206163664).

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

76152300336 is a wasteful number, since it uses less digits than its factorization.

76152300336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 76152300336 in words is "seventy-six billion, one hundred fifty-two million, three hundred thousand, three hundred thirty-six".