77427336 has 64 divisors (see below), whose sum is σ = 228372480. Its totient is φ = 21407040.

The previous prime is 77427323. The next prime is 77427341. The reversal of 77427336 is 63372477.

It is a super-3 number, since 3×77427336³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 77427294 and 77427303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 12641.

It is an arithmetic number, because the mean of its divisors is an integer number (3568320).

Almost surely, 2^77427336 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 77427336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114186240).

77427336 is an abundant number, since it is smaller than the sum of its proper divisors (150945144).

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

77427336 is a wasteful number, since it uses less digits than its factorization.

77427336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914 (or 14910 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 77427336 is about 8799.2804251257. The cubic root of 77427336 is about 426.2176586143.

The spelling of 77427336 in words is "seventy-seven million, four hundred twenty-seven thousand, three hundred thirty-six".