76130305121520 has 240 divisors, whose sum is σ = 275348767092672. Its totient is φ = 18739030302720.

The previous prime is 76130305121443. The next prime is 76130305121581. The reversal of 76130305121520 is 2512150303167.

76130305121520 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 0 + 3 + 0 + 5 + 121 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×76130305121520² (a number of 29 digits) contains 22 as substring.

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, 260501880 + ... + 260793960.

Almost surely, 2^{76130305121520} 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 76130305121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137674383546336).

76130305121520 is an abundant number, since it is smaller than the sum of its proper divisors (199218461971152).

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

76130305121520 is a wasteful number, since it uses less digits than its factorization.

76130305121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319960 (or 319951 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 76130305121520 its reverse (2512150303167), we get a palindrome (78642455424687).

The spelling of 76130305121520 in words is "seventy-six trillion, one hundred thirty billion, three hundred five million, one hundred twenty-one thousand, five hundred twenty".