744838778880 has 728 divisors, whose sum is σ = 3063134143872. Its totient is φ = 170224975872.

The previous prime is 744838778861. The next prime is 744838778911. The reversal of 744838778880 is 88877838447.

744838778880 is a `hidden beast` number, since 7 + 448 + 38 + 7 + 78 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 744838778799 and 744838778808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104505877 + ... + 104513003.

Almost surely, 2^744838778880 is an apocalyptic number.

744838778880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744838778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531567071936).

744838778880 is an abundant number, since it is smaller than the sum of its proper divisors (2318295364992).

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

744838778880 is an frugal number, since it uses more digits than its factorization.

744838778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7181 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 539492352, while the sum is 72.

The spelling of 744838778880 in words is "seven hundred forty-four billion, eight hundred thirty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".