77629230 has 144 divisors (see below), whose sum is σ = 243285120. Its totient is φ = 17103744.

The previous prime is 77629217. The next prime is 77629247. The reversal of 77629230 is 3292677.

77629230 is a `hidden beast` number, since 7 + 7 + 629 + 23 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 127587 + ... + 128193.

It is an arithmetic number, because the mean of its divisors is an integer number (1689480).

Almost surely, 2^77629230 is an apocalyptic number.

77629230 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77629230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121642560).

77629230 is an abundant number, since it is smaller than the sum of its proper divisors (165655890).

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

77629230 is a wasteful number, since it uses less digits than its factorization.

77629230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 77629230 is about 8810.7451444245. The cubic root of 77629230 is about 426.5877953441.

The spelling of 77629230 in words is "seventy-seven million, six hundred twenty-nine thousand, two hundred thirty".