77284935968 has 96 divisors (see below), whose sum is σ = 167769221760. Its totient is φ = 34881638400.

The previous prime is 77284935941. The next prime is 77284936013. The reversal of 77284935968 is 86953948277.

It is a happy number.

It is a super-2 number, since 2×77284935968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 77284935898 and 77284935907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365955 + ... + 2398397.

It is an arithmetic number, because the mean of its divisors is an integer number (1747596060).

Almost surely, 2^77284935968 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 77284935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83884610880).

77284935968 is an abundant number, since it is smaller than the sum of its proper divisors (90484285792).

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

77284935968 is a wasteful number, since it uses less digits than its factorization.

77284935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32650 (or 32642 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 68.

The spelling of 77284935968 in words is "seventy-seven billion, two hundred eighty-four million, nine hundred thirty-five thousand, nine hundred sixty-eight".