741479760 has 180 divisors, whose sum is σ = 2896826868. Its totient is φ = 169473024.

The previous prime is 741479759. The next prime is 741479777. The reversal of 741479760 is 67974147.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 660695616 = 8988^2 + 25704^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 24772 + ... + 45788.

Almost surely, 2^741479760 is an apocalyptic number.

741479760 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 741479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448413434).

741479760 is an abundant number, since it is smaller than the sum of its proper divisors (2155347108).

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

741479760 is a wasteful number, since it uses less digits than its factorization.

741479760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21050 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 741479760 is about 27230.1259637189. The cubic root of 741479760 is about 905.1066732209.

The spelling of 741479760 in words is "seven hundred forty-one million, four hundred seventy-nine thousand, seven hundred sixty".