746720 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 274944.

The previous prime is 746677. The next prime is 746723. The reversal of 746720 is 27647.

It is a super-3 number, since 3×746720³ = 1249092513337344000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 746720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746723) by changing a digit.

746720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1901 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁷⁴⁶⁷²⁰ 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 746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

746720 is an abundant number, since it is smaller than the sum of its proper divisors (1158400).

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

746720 is a wasteful number, since it uses less digits than its factorization.

746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 746720 is about 864.1296199066. The cubic root of 746720 is about 90.7233881905.

The spelling of 746720 in words is "seven hundred forty-six thousand, seven hundred twenty".