77932338 has 64 divisors (see below), whose sum is σ = 185241600. Its totient is φ = 21591360.

The previous prime is 77932331. The next prime is 77932343. The reversal of 77932338 is 83323977.

It is a super-2 number, since 2×77932338² = 12146898612292488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77932338.

It is not an unprimeable number, because it can be changed into a prime (77932331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35295 + ... + 37437.

It is an arithmetic number, because the mean of its divisors is an integer number (2894400).

Almost surely, 2^77932338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77932338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92620800).

77932338 is an abundant number, since it is smaller than the sum of its proper divisors (107309262).

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

77932338 is a wasteful number, since it uses less digits than its factorization.

77932338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207.

The product of its digits is 190512, while the sum is 42.

The square root of 77932338 is about 8827.9294288072. The cubic root of 77932338 is about 427.1422868598.

The spelling of 77932338 in words is "seventy-seven million, nine hundred thirty-two thousand, three hundred thirty-eight".