76729338 has 96 divisors (see below), whose sum is σ = 197308800. Its totient is φ = 21098880.

The previous prime is 76729337. The next prime is 76729343. The reversal of 76729338 is 83392767.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76729293 and 76729302.

It is not an unprimeable number, because it can be changed into a prime (76729337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514888 + ... + 515036.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^76729338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76729338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

76729338 is an abundant number, since it is smaller than the sum of its proper divisors (120579462).

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

76729338 is a wasteful number, since it uses less digits than its factorization.

76729338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

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

The square root of 76729338 is about 8759.5284119637. The cubic root of 76729338 is about 424.9330238171.

The spelling of 76729338 in words is "seventy-six million, seven hundred twenty-nine thousand, three hundred thirty-eight".