76829373 has 12 divisors (see below), whose sum is σ = 111052188. Its totient is φ = 51184320.

The previous prime is 76829371. The next prime is 76829393. The reversal of 76829373 is 37392867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64593369 + 12236004 = 8037^2 + 3498^2 .

It is not a de Polignac number, because 76829373 - 2¹ = 76829371 is a prime.

It is a super-3 number, since 3×76829373³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76829371) 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 11 ways as a sum of consecutive naturals, for example, 21961 + ... + 25217.

It is an arithmetic number, because the mean of its divisors is an integer number (9254349).

Almost surely, 2^76829373 is an apocalyptic number.

It is an amenable number.

76829373 is a deficient number, since it is larger than the sum of its proper divisors (34222815).

76829373 is a wasteful number, since it uses less digits than its factorization.

76829373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5881 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 76829373 is about 8765.2366197382. The cubic root of 76829373 is about 425.1176108183.

The spelling of 76829373 in words is "seventy-six million, eight hundred twenty-nine thousand, three hundred seventy-three".