76826310 has 64 divisors (see below), whose sum is σ = 211749120. Its totient is φ = 17642880.

The previous prime is 76826297. The next prime is 76826369. The reversal of 76826310 is 1362867.

It is a super-2 number, since 2×76826310² = 11804563816432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 144 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (3308580).

Almost surely, 2^76826310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76826310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105874560).

76826310 is an abundant number, since it is smaller than the sum of its proper divisors (134922810).

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

76826310 is a wasteful number, since it uses less digits than its factorization.

76826310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12293.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 76826310 is about 8765.0618936776. The cubic root of 76826310 is about 425.1119612753. Note that the first 3 decimals are identical.

The spelling of 76826310 in words is "seventy-six million, eight hundred twenty-six thousand, three hundred ten".