741000960 has 360 divisors, whose sum is σ = 3033181536. Its totient is φ = 169205760.

The previous prime is 741000937. The next prime is 741000971. The reversal of 741000960 is 69000147.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 725250 + ... + 726270.

Almost surely, 2^741000960 is an apocalyptic number.

741000960 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 741000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516590768).

741000960 is an abundant number, since it is smaller than the sum of its proper divisors (2292180576).

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

741000960 is a wasteful number, since it uses less digits than its factorization.

741000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 741000960 is about 27221.3328108673. The cubic root of 741000960 is about 904.9118113552.

The spelling of 741000960 in words is "seven hundred forty-one million, nine hundred sixty", and thus it is an aban number.