77434440 has 64 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 20482560.

The previous prime is 77434429. The next prime is 77434447. The reversal of 77434440 is 4443477.

It is a super-2 number, since 2×77434440² = 11992184996227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77434447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12700 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^77434440 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 77434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

77434440 is an abundant number, since it is smaller than the sum of its proper divisors (156744120).

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

77434440 is a wasteful number, since it uses less digits than its factorization.

77434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 77434440 is about 8799.6840852385. The cubic root of 77434440 is about 426.2306934494.

The spelling of 77434440 in words is "seventy-seven million, four hundred thirty-four thousand, four hundred forty".