77434576 has 40 divisors (see below), whose sum is σ = 159523520. Its totient is φ = 36308736.

The previous prime is 77434573. The next prime is 77434589. The reversal of 77434576 is 67543477.

It is a super-2 number, since 2×77434576² = 11992227120599552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77434573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30076 + ... + 32548.

It is an arithmetic number, because the mean of its divisors is an integer number (3988088).

Almost surely, 2^77434576 is an apocalyptic number.

77434576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77434576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79761760).

77434576 is an abundant number, since it is smaller than the sum of its proper divisors (82088944).

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

77434576 is a wasteful number, since it uses less digits than its factorization.

77434576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2597 counting only the distinct ones).

The product of its digits is 493920, while the sum is 43.

The square root of 77434576 is about 8799.6918127853. The cubic root of 77434576 is about 426.2309429823.

The spelling of 77434576 in words is "seventy-seven million, four hundred thirty-four thousand, five hundred seventy-six".