746352720 has 120 divisors (see below), whose sum is σ = 2564898336. Its totient is φ = 194390784.

The previous prime is 746352703. The next prime is 746352721. The reversal of 746352720 is 27253647.

It is a happy number.

746352720 is a `hidden beast` number, since 74 + 63 + 527 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746352721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18907 + ... + 43013.

Almost surely, 2^746352720 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 746352720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282449168).

746352720 is an abundant number, since it is smaller than the sum of its proper divisors (1818545616).

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

746352720 is a wasteful number, since it uses less digits than its factorization.

746352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24169 (or 24160 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 746352720 is about 27319.4568027990. The cubic root of 746352720 is about 907.0851141809.

The spelling of 746352720 in words is "seven hundred forty-six million, three hundred fifty-two thousand, seven hundred twenty".