740745600 has 384 divisors, whose sum is σ = 2845294080. Its totient is φ = 165888000.

The previous prime is 740745581. The next prime is 740745619. The reversal of 740745600 is 6547047.

It is an interprime number because it is at equal distance from previous prime (740745581) and next prime (740745619).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4905525 + ... + 4905675.

It is an arithmetic number, because the mean of its divisors is an integer number (7409620).

Almost surely, 2^740745600 is an apocalyptic number.

740745600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422647040).

740745600 is an abundant number, since it is smaller than the sum of its proper divisors (2104548480).

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

740745600 is a wasteful number, since it uses less digits than its factorization.

740745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 740745600 is about 27216.6419677373. The cubic root of 740745600 is about 904.8078507028.

The spelling of 740745600 in words is "seven hundred forty million, seven hundred forty-five thousand, six hundred".