741677040 has 320 divisors, whose sum is σ = 2802737280. Its totient is φ = 179159040.

The previous prime is 741677011. The next prime is 741677047. The reversal of 741677040 is 40776147.

741677040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 741676986 and 741677004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741677047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712664 + ... + 1713096.

It is an arithmetic number, because the mean of its divisors is an integer number (8758554).

Almost surely, 2^741677040 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 741677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401368640).

741677040 is an abundant number, since it is smaller than the sum of its proper divisors (2061060240).

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

741677040 is a wasteful number, since it uses less digits than its factorization.

741677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 741677040 is about 27233.7481812548. The cubic root of 741677040 is about 905.1869377678.

The spelling of 741677040 in words is "seven hundred forty-one million, six hundred seventy-seven thousand, forty".