742807760 has 80 divisors (see below), whose sum is σ = 1758744576. Its totient is φ = 291723264.

The previous prime is 742807759. The next prime is 742807829. The reversal of 742807760 is 67708247.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147757 + ... + 1148403.

Almost surely, 2^742807760 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 742807760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879372288).

742807760 is an abundant number, since it is smaller than the sum of its proper divisors (1015936816).

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

742807760 is a wasteful number, since it uses less digits than its factorization.

742807760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 742807760 is about 27254.4998119577. The cubic root of 742807760 is about 905.6467035997.

The spelling of 742807760 in words is "seven hundred forty-two million, eight hundred seven thousand, seven hundred sixty".