76328853120 has 640 divisors, whose sum is σ = 299230802640. Its totient is φ = 18425511936.

The previous prime is 76328853113. The next prime is 76328853143. The reversal of 76328853120 is 2135882367.

76328853120 is a `hidden beast` number, since 7 + 6 + 32 + 88 + 531 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8882685504 + 67446167616 = 94248^2 + 259704^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×76328853120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35716692 + ... + 35718828.

Almost surely, 2^76328853120 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 76328853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615401320).

76328853120 is an abundant number, since it is smaller than the sum of its proper divisors (222901949520).

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

76328853120 is a wasteful number, since it uses less digits than its factorization.

76328853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76328853120 in words is "seventy-six billion, three hundred twenty-eight million, eight hundred fifty-three thousand, one hundred twenty".