741242880 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 168984576.

The previous prime is 741242833. The next prime is 741242917. The reversal of 741242880 is 88242147.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935169 + ... + 1935551.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^741242880 is an apocalyptic number.

741242880 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 741242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

741242880 is an abundant number, since it is smaller than the sum of its proper divisors (2277918720).

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

741242880 is a wasteful number, since it uses less digits than its factorization.

741242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 741242880 is about 27225.7760219980. The cubic root of 741242880 is about 905.0102783648.

The spelling of 741242880 in words is "seven hundred forty-one million, two hundred forty-two thousand, eight hundred eighty".