76343256 has 192 divisors, whose sum is σ = 245145600. Its totient is φ = 21954240.

The previous prime is 76343249. The next prime is 76343287. The reversal of 76343256 is 65234367.

It is a super-3 number, since 3×76343256³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76343256.

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, 601065 + ... + 601191.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^76343256 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 76343256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

76343256 is an abundant number, since it is smaller than the sum of its proper divisors (168802344).

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

76343256 is a wasteful number, since it uses less digits than its factorization.

76343256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 76343256 is about 8737.4627896203. The cubic root of 76343256 is about 424.2191077101.

Subtracting from 76343256 its reverse (65234367), we obtain a square (11108889 = 3333²).

The spelling of 76343256 in words is "seventy-six million, three hundred forty-three thousand, two hundred fifty-six".