77666848 has 48 divisors (see below), whose sum is σ = 179492544. Its totient is φ = 32382720.

The previous prime is 77666819. The next prime is 77666891. The reversal of 77666848 is 84866677.

It is a super-3 number, since 3×77666848³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77666795 and 77666804.

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, 3603 + ... + 12973.

It is an arithmetic number, because the mean of its divisors is an integer number (3739428).

Almost surely, 2^77666848 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 77666848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89746272).

77666848 is an abundant number, since it is smaller than the sum of its proper divisors (101825696).

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

77666848 is a wasteful number, since it uses less digits than its factorization.

77666848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425 (or 9417 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The square root of 77666848 is about 8812.8796655804. The cubic root of 77666848 is about 426.6566903049.

The spelling of 77666848 in words is "seventy-seven million, six hundred sixty-six thousand, eight hundred forty-eight".