742705920 has 216 divisors, whose sum is σ = 2803771152. Its totient is φ = 180019200.

The previous prime is 742705913. The next prime is 742705993. The reversal of 742705920 is 29507247.

It is a super-2 number, since 2×742705920² = 1103224167206092800, which contains 22 as substring.

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

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, 123790 + ... + 129650.

It is an arithmetic number, because the mean of its divisors is an integer number (12980422).

Almost surely, 2^742705920 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 742705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401885576).

742705920 is an abundant number, since it is smaller than the sum of its proper divisors (2061065232).

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

742705920 is a wasteful number, since it uses less digits than its factorization.

742705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 742705920 is about 27252.6314325791. The cubic root of 742705920 is about 905.6053132245.

The spelling of 742705920 in words is "seven hundred forty-two million, seven hundred five thousand, nine hundred twenty".