77083285248 has 216 divisors, whose sum is σ = 228405471840. Its totient is φ = 24986910720.

The previous prime is 77083285219. The next prime is 77083285273. The reversal of 77083285248 is 84258238077.

77083285248 is a `hidden beast` number, since 7 + 70 + 8 + 328 + 5 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77083285194 and 77083285203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33911440 + ... + 33913712.

It is an arithmetic number, because the mean of its divisors is an integer number (1057432740).

Almost surely, 2^77083285248 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 77083285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114202735920).

77083285248 is an abundant number, since it is smaller than the sum of its proper divisors (151322186592).

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

77083285248 is a wasteful number, since it uses less digits than its factorization.

77083285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 77083285248 in words is "seventy-seven billion, eighty-three million, two hundred eighty-five thousand, two hundred forty-eight".