76873338360 has 1280 divisors, whose sum is σ = 344681568000. Its totient is φ = 15216574464.

The previous prime is 76873338337. The next prime is 76873338427. The reversal of 76873338360 is 6383337867.

It is a super-2 number, since 2×76873338360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76873338297 and 76873338306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 245601564 + ... + 245601876.

It is an arithmetic number, because the mean of its divisors is an integer number (269282475).

Almost surely, 2^76873338360 is an apocalyptic number.

76873338360 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 76873338360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172340784000).

76873338360 is an abundant number, since it is smaller than the sum of its proper divisors (267808229640).

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

76873338360 is a wasteful number, since it uses less digits than its factorization.

76873338360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 76873338360 in words is "seventy-six billion, eight hundred seventy-three million, three hundred thirty-eight thousand, three hundred sixty".