76012800 has 216 divisors, whose sum is σ = 260045856. Its totient is φ = 19537920.

The previous prime is 76012757. The next prime is 76012817. The reversal of 76012800 is 821067.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710347 + ... + 710453.

It is an arithmetic number, because the mean of its divisors is an integer number (1203916).

Almost surely, 2^76012800 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 76012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130022928).

76012800 is an abundant number, since it is smaller than the sum of its proper divisors (184033056).

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

76012800 is a wasteful number, since it uses less digits than its factorization.

76012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 76012800 is about 8718.5319865216. The cubic root of 76012800 is about 423.6061371528.

Adding to 76012800 its reverse (821067), we get a palindrome (76833867).

It can be divided in two parts, 7601 and 2800, that added together give a palindrome (10401).

The spelling of 76012800 in words is "seventy-six million, twelve thousand, eight hundred".