76734288 has 90 divisors (see below), whose sum is σ = 220809342. Its totient is φ = 24875520.

The previous prime is 76734283. The next prime is 76734299. The reversal of 76734288 is 88243767.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14197824 + 62536464 = 3768^2 + 7908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76734283) 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 17 ways as a sum of consecutive naturals, for example, 241906 + ... + 242222.

Almost surely, 2^76734288 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 76734288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110404671).

76734288 is an abundant number, since it is smaller than the sum of its proper divisors (144075054).

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

76734288 is a wasteful number, since it uses less digits than its factorization.

76734288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 363 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 76734288 is about 8759.8109568643. The cubic root of 76734288 is about 424.9421614486.

The spelling of 76734288 in words is "seventy-six million, seven hundred thirty-four thousand, two hundred eighty-eight".