76731200 has 336 divisors, whose sum is σ = 253983744. Its totient is φ = 22118400.

The previous prime is 76731167. The next prime is 76731269. The reversal of 76731200 is 213767.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 76731200.

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, 2475185 + ... + 2475215.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 2^76731200 is an apocalyptic number.

76731200 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 76731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

76731200 is an abundant number, since it is smaller than the sum of its proper divisors (177252544).

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

76731200 is a wasteful number, since it uses less digits than its factorization.

76731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 76731200 is about 8759.6346955795. The cubic root of 76731200 is about 424.9364610894.

Adding to 76731200 its reverse (213767), we get a palindrome (76944967).

The spelling of 76731200 in words is "seventy-six million, seven hundred thirty-one thousand, two hundred".