742735008 has 240 divisors, whose sum is σ = 2324405160. Its totient is φ = 232243200.

The previous prime is 742734991. The next prime is 742735027. The reversal of 742735008 is 800537247.

It can be written as a sum of positive squares in 4 ways, for example, as 552626064 + 190108944 = 23508^2 + 13788^2 .

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 39 ways as a sum of consecutive naturals, for example, 3081768 + ... + 3082008.

Almost surely, 2^742735008 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 742735008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162202580).

742735008 is an abundant number, since it is smaller than the sum of its proper divisors (1581670152).

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

742735008 is a wasteful number, since it uses less digits than its factorization.

742735008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 742735008 is about 27253.1651005897. The cubic root of 742735008 is about 905.6171357161.

The spelling of 742735008 in words is "seven hundred forty-two million, seven hundred thirty-five thousand, eight".