77445317742 has 192 divisors, whose sum is σ = 184652395200. Its totient is φ = 21623347200.

The previous prime is 77445317737. The next prime is 77445317777. The reversal of 77445317742 is 24771354477.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110477992 + ... + 110478692.

It is an arithmetic number, because the mean of its divisors is an integer number (961731225).

Almost surely, 2^77445317742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77445317742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92326197600).

77445317742 is an abundant number, since it is smaller than the sum of its proper divisors (107207077458).

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

77445317742 is a wasteful number, since it uses less digits than its factorization.

77445317742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 765 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 51.

The spelling of 77445317742 in words is "seventy-seven billion, four hundred forty-five million, three hundred seventeen thousand, seven hundred forty-two".