77407506107740 has 96 divisors (see below), whose sum is σ = 173682896151744. Its totient is φ = 28877845954560.

The previous prime is 77407506107707. The next prime is 77407506107741. The reversal of 77407506107740 is 4770160570477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77407506107741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14569335 + ... + 19159345.

It is an arithmetic number, because the mean of its divisors is an integer number (1809196834914).

Almost surely, 2^{77407506107740} 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 77407506107740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86841448075872).

77407506107740 is an abundant number, since it is smaller than the sum of its proper divisors (96275390044004).

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

77407506107740 is a wasteful number, since it uses less digits than its factorization.

77407506107740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590487 (or 4590485 counting only the distinct ones).

The product of its (nonzero) digits is 8067360, while the sum is 55.

The spelling of 77407506107740 in words is "seventy-seven trillion, four hundred seven billion, five hundred six million, one hundred seven thousand, seven hundred forty".