77937735060 has 144 divisors (see below), whose sum is σ = 245289844800. Its totient is φ = 20772993024.

The previous prime is 77937735037. The next prime is 77937735119. The reversal of 77937735060 is 6053773977.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77937734988 and 77937735006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18169396 + ... + 18173684.

It is an arithmetic number, because the mean of its divisors is an integer number (1703401700).

Almost surely, 2^77937735060 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 77937735060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122644922400).

77937735060 is an abundant number, since it is smaller than the sum of its proper divisors (167352109740).

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

77937735060 is a wasteful number, since it uses less digits than its factorization.

77937735060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 5834430, while the sum is 54.

The spelling of 77937735060 in words is "seventy-seven billion, nine hundred thirty-seven million, seven hundred thirty-five thousand, sixty".