742763520 has 308 divisors, whose sum is σ = 2684845200. Its totient is φ = 197074944.

The previous prime is 742763519. The next prime is 742763531. The reversal of 742763520 is 25367247.

It is a happy number.

742763520 is a `hidden beast` number, since 74 + 2 + 7 + 63 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3732381 + ... + 3732579.

Almost surely, 2^742763520 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 742763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342422600).

742763520 is an abundant number, since it is smaller than the sum of its proper divisors (1942081680).

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

742763520 is an equidigital number, since it uses as much as digits as its factorization.

742763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 742763520 is about 27253.6881907752. The cubic root of 742763520 is about 905.6287237994.

The spelling of 742763520 in words is "seven hundred forty-two million, seven hundred sixty-three thousand, five hundred twenty".