76385380800 has 336 divisors, whose sum is σ = 268791903360. Its totient is φ = 18932060160.

The previous prime is 76385380793. The next prime is 76385380823. The reversal of 76385380800 is 808358367.

It is a happy number.

It is a super-2 number, since 2×76385380800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76385380800.

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, 4825699 + ... + 4841501.

Almost surely, 2^76385380800 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 76385380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134395951680).

76385380800 is an abundant number, since it is smaller than the sum of its proper divisors (192406522560).

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

76385380800 is a wasteful number, since it uses less digits than its factorization.

76385380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15900 (or 15885 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 76385380800 in words is "seventy-six billion, three hundred eighty-five million, three hundred eighty thousand, eight hundred".