744329880 has 192 divisors, whose sum is σ = 2817322560. Its totient is φ = 166892544.

The previous prime is 744329879. The next prime is 744329881. The reversal of 744329880 is 88923447.

It is an interprime number because it is at equal distance from previous prime (744329879) and next prime (744329881).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744329881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130774 + ... + 136346.

It is an arithmetic number, because the mean of its divisors is an integer number (14673555).

Almost surely, 2^744329880 is an apocalyptic number.

744329880 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 744329880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408661280).

744329880 is an abundant number, since it is smaller than the sum of its proper divisors (2072992680).

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

744329880 is a wasteful number, since it uses less digits than its factorization.

744329880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 744329880 is about 27282.4097176184. The cubic root of 744329880 is about 906.2648816898.

The spelling of 744329880 in words is "seven hundred forty-four million, three hundred twenty-nine thousand, eight hundred eighty".