735780864 has 336 divisors, whose sum is σ = 2510137728. Its totient is φ = 189923328.

The previous prime is 735780863. The next prime is 735780887. The reversal of 735780864 is 468087537.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (735780863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15654889 + ... + 15654935.

It is an arithmetic number, because the mean of its divisors is an integer number (7470648).

Almost surely, 2^735780864 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 735780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255068864).

735780864 is an abundant number, since it is smaller than the sum of its proper divisors (1774356864).

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

735780864 is a wasteful number, since it uses less digits than its factorization.

735780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 735780864 is about 27125.2809017713. The cubic root of 735780864 is about 902.7818714764.

The spelling of 735780864 in words is "seven hundred thirty-five million, seven hundred eighty thousand, eight hundred sixty-four".