735390816 has 96 divisors (see below), whose sum is σ = 2043740160. Its totient is φ = 231135744.

The previous prime is 735390793. The next prime is 735390889. The reversal of 735390816 is 618093537.

It is a tau number, because it is divible by the number of its divisors (96).

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, 116641 + ... + 122783.

It is an arithmetic number, because the mean of its divisors is an integer number (21288960).

Almost surely, 2^735390816 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 735390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

735390816 is an abundant number, since it is smaller than the sum of its proper divisors (1308349344).

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

735390816 is a wasteful number, since it uses less digits than its factorization.

735390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 735390816 is about 27118.0901982422. The cubic root of 735390816 is about 902.6223174018.

The spelling of 735390816 in words is "seven hundred thirty-five million, three hundred ninety thousand, eight hundred sixteen".