77258927372742 has 160 divisors (see below), whose sum is σ = 179779637933280. Its totient is φ = 24780181893120.

The previous prime is 77258927372741. The next prime is 77258927372773. The reversal of 77258927372742 is 24727372985277.

77258927372742 is a `hidden beast` number, since 7 + 7 + 2 + 5 + 89 + 273 + 7 + 274 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77258927372741) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 326794434 + ... + 327030762.

It is an arithmetic number, because the mean of its divisors is an integer number (1123622737083).

Almost surely, 2^{77258927372742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77258927372742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89889818966640).

77258927372742 is an abundant number, since it is smaller than the sum of its proper divisors (102520710560538).

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

77258927372742 is a wasteful number, since it uses less digits than its factorization.

77258927372742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237060 (or 237051 counting only the distinct ones).

The product of its digits is 1161699840, while the sum is 72.

The spelling of 77258927372742 in words is "seventy-seven trillion, two hundred fifty-eight billion, nine hundred twenty-seven million, three hundred seventy-two thousand, seven hundred forty-two".