77344103000 has 128 divisors (see below), whose sum is σ = 185476262400. Its totient is φ = 30178096000.

The previous prime is 77344102991. The next prime is 77344103033. The reversal of 77344103000 is 30144377.

It is a super-2 number, since 2×77344103000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7723997 + ... + 7734003.

It is an arithmetic number, because the mean of its divisors is an integer number (1449033300).

Almost surely, 2^77344103000 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 77344103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92738131200).

77344103000 is an abundant number, since it is smaller than the sum of its proper divisors (108132159400).

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

77344103000 is a wasteful number, since it uses less digits than its factorization.

77344103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

Adding to 77344103000 its reverse (30144377), we get a palindrome (77374247377).

The spelling of 77344103000 in words is "seventy-seven billion, three hundred forty-four million, one hundred three thousand".