76018400 has 72 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 30172160.

The previous prime is 76018379. The next prime is 76018403. The reversal of 76018400 is 481067.

It is a self number, because there is not a number n which added to its sum of digits gives 76018400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76018403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133316 + ... + 133884.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^76018400 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 76018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

76018400 is an abundant number, since it is smaller than the sum of its proper divisors (111000880).

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

76018400 is a wasteful number, since it uses less digits than its factorization.

76018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 76018400 is about 8718.8531355907. The cubic root of 76018400 is about 423.6165395066.

Adding to 76018400 its reverse (481067), we get a palindrome (76499467).

The spelling of 76018400 in words is "seventy-six million, eighteen thousand, four hundred".