77040743440 has 80 divisors (see below), whose sum is σ = 185738759280. Its totient is φ = 29682616320.

The previous prime is 77040743419. The next prime is 77040743453. The reversal of 77040743440 is 4434704077.

It can be written as a sum of positive squares in 8 ways, for example, as 17033382144 + 60007361296 = 130512^2 + 244964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×77040743440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 77040743393 and 77040743402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937282 + ... + 1016158.

It is an arithmetic number, because the mean of its divisors is an integer number (2321734491).

Almost surely, 2^77040743440 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 77040743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92869379640).

77040743440 is an abundant number, since it is smaller than the sum of its proper divisors (108698015840).

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

77040743440 is a wasteful number, since it uses less digits than its factorization.

77040743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79340 (or 79334 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 40.

The spelling of 77040743440 in words is "seventy-seven billion, forty million, seven hundred forty-three thousand, four hundred forty".