77083608 has 192 divisors, whose sum is σ = 245790720. Its totient is φ = 19699200.

The previous prime is 77083607. The next prime is 77083613. The reversal of 77083608 is 80638077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77083607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880068 + ... + 1880108.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^77083608 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 77083608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

77083608 is an abundant number, since it is smaller than the sum of its proper divisors (168707112).

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

77083608 is a wasteful number, since it uses less digits than its factorization.

77083608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 77083608 is about 8779.7271028205. The cubic root of 77083608 is about 425.5860114450.

The spelling of 77083608 in words is "seventy-seven million, eighty-three thousand, six hundred eight".