742764720 has 120 divisors (see below), whose sum is σ = 2430420336. Its totient is φ = 187623936.

The previous prime is 742764713. The next prime is 742764749. The reversal of 742764720 is 27467247.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82354 + ... + 90926.

Almost surely, 2^742764720 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 742764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215210168).

742764720 is an abundant number, since it is smaller than the sum of its proper divisors (1687655616).

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

742764720 is a wasteful number, since it uses less digits than its factorization.

742764720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 742764720 is about 27253.7102061352. The cubic root of 742764720 is about 905.6292115068.

The spelling of 742764720 in words is "seven hundred forty-two million, seven hundred sixty-four thousand, seven hundred twenty".