77945408 has 56 divisors (see below), whose sum is σ = 169127424. Its totient is φ = 35481600.

The previous prime is 77945401. The next prime is 77945443. The reversal of 77945408 is 80454977.

It is not an unprimeable number, because it can be changed into a prime (77945401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32573 + ... + 34883.

Almost surely, 2^77945408 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 77945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84563712).

77945408 is an abundant number, since it is smaller than the sum of its proper divisors (91182016).

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

77945408 is a wasteful number, since it uses less digits than its factorization.

77945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 77945408 is about 8828.6696619593. The cubic root of 77945408 is about 427.1661641434.

The spelling of 77945408 in words is "seventy-seven million, nine hundred forty-five thousand, four hundred eight".