77104008 has 64 divisors (see below), whose sum is σ = 215136000. Its totient is φ = 25586496.

The previous prime is 77104003. The next prime is 77104043. The reversal of 77104008 is 80040177.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77104003) 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, 57441 + ... + 58767.

It is an arithmetic number, because the mean of its divisors is an integer number (3361500).

Almost surely, 2^77104008 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 77104008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107568000).

77104008 is an abundant number, since it is smaller than the sum of its proper divisors (138031992).

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

77104008 is a wasteful number, since it uses less digits than its factorization.

77104008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 77104008 is about 8780.8887932828. Note that the first 3 decimals coincide. The cubic root of 77104008 is about 425.6235515874.

The spelling of 77104008 in words is "seventy-seven million, one hundred four thousand, eight".