77408144 has 40 divisors (see below), whose sum is σ = 168048768. Its totient is φ = 34231680.

The previous prime is 77408137. The next prime is 77408161. The reversal of 77408144 is 44180477.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569 + ... + 12455.

Almost surely, 2^77408144 is an apocalyptic number.

77408144 is a gapful number since it is divisible by the number (74) 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 77408144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84024384).

77408144 is an abundant number, since it is smaller than the sum of its proper divisors (90640624).

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

77408144 is a wasteful number, since it uses less digits than its factorization.

77408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11943 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 77408144 is about 8798.1898138197. The cubic root of 77408144 is about 426.1824400224.

The spelling of 77408144 in words is "seventy-seven million, four hundred eight thousand, one hundred forty-four".