77107008 has 84 divisors (see below), whose sum is σ = 224312480. Its totient is φ = 23358720.

The previous prime is 77107007. The next prime is 77107021. The reversal of 77107008 is 80070177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77107003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21573 + ... + 24891.

Almost surely, 2^77107008 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 77107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112156240).

77107008 is an abundant number, since it is smaller than the sum of its proper divisors (147205472).

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

77107008 is a wasteful number, since it uses less digits than its factorization.

77107008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The square root of 77107008 is about 8781.0596171533. The cubic root of 77107008 is about 425.6290716381.

The spelling of 77107008 in words is "seventy-seven million, one hundred seven thousand, eight".