741761280 has 432 divisors, whose sum is σ = 2872719360. Its totient is φ = 181149696.

The previous prime is 741761269. The next prime is 741761291. The reversal of 741761280 is 82167147.

It is an interprime number because it is at equal distance from previous prime (741761269) and next prime (741761291).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840577 + ... + 5840703.

Almost surely, 2^741761280 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 741761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436359680).

741761280 is an abundant number, since it is smaller than the sum of its proper divisors (2130958080).

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

741761280 is a wasteful number, since it uses less digits than its factorization.

741761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 741761280 is about 27235.2947478084. The cubic root of 741761280 is about 905.2212069788.

The spelling of 741761280 in words is "seven hundred forty-one million, seven hundred sixty-one thousand, two hundred eighty".