77334440 has 32 divisors (see below), whose sum is σ = 178708680. Its totient is φ = 30097152.

The previous prime is 77334431. The next prime is 77334451. The reversal of 77334440 is 4443377.

It can be written as a sum of positive squares in 4 ways, for example, as 69189124 + 8145316 = 8318^2 + 2854^2 .

It is a super-2 number, since 2×77334440² = 11961231220227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77334397 and 77334406.

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 7 ways as a sum of consecutive naturals, for example, 24647 + ... + 27606.

Almost surely, 2^77334440 is an apocalyptic number.

It is an amenable number.

77334440 is an abundant number, since it is smaller than the sum of its proper divisors (101374240).

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

77334440 is a wasteful number, since it uses less digits than its factorization.

77334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52301 (or 52297 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The square root of 77334440 is about 8794.0002274278. Note that the first 3 decimals coincide. The cubic root of 77334440 is about 426.0471341677.

The spelling of 77334440 in words is "seventy-seven million, three hundred thirty-four thousand, four hundred forty".