77429628 has 96 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 24053760.

The previous prime is 77429609. The next prime is 77429669. The reversal of 77429628 is 82692477.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332200 + ... + 332432.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^77429628 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 77429628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

77429628 is an abundant number, since it is smaller than the sum of its proper divisors (137213892).

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

77429628 is a wasteful number, since it uses less digits than its factorization.

77429628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 77429628 is about 8799.4106620841. The cubic root of 77429628 is about 426.2218641972.

The spelling of 77429628 in words is "seventy-seven million, four hundred twenty-nine thousand, six hundred twenty-eight".