77052938688 has 280 divisors, whose sum is σ = 255258655344. Its totient is φ = 22779187200.

The previous prime is 77052938681. The next prime is 77052938717. The reversal of 77052938688 is 88683925077.

77052938688 is a `hidden beast` number, since 7 + 70 + 529 + 38 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×77052938688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77052938681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2321506 + ... + 2354462.

Almost surely, 2^77052938688 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 77052938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127629327672).

77052938688 is an abundant number, since it is smaller than the sum of its proper divisors (178205716656).

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

77052938688 is a wasteful number, since it uses less digits than its factorization.

77052938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33033 (or 33014 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 77052938688 in words is "seventy-seven billion, fifty-two million, nine hundred thirty-eight thousand, six hundred eighty-eight".