77400061740 has 144 divisors (see below), whose sum is σ = 247257410400. Its totient is φ = 19544177664.

The previous prime is 77400061729. The next prime is 77400061747. The reversal of 77400061740 is 4716000477.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77400061695 and 77400061704.

It is not an unprimeable number, because it can be changed into a prime (77400061747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9329034 + ... + 9337326.

It is an arithmetic number, because the mean of its divisors is an integer number (1717065350).

Almost surely, 2^77400061740 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 77400061740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123628705200).

77400061740 is an abundant number, since it is smaller than the sum of its proper divisors (169857348660).

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

77400061740 is a wasteful number, since it uses less digits than its factorization.

77400061740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11056 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 77400061740 in words is "seventy-seven billion, four hundred million, sixty-one thousand, seven hundred forty".