749280 has 96 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 170496.

The previous prime is 749279. The next prime is 749297. The reversal of 749280 is 82947.

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

It is a super-2 number, since 2×749280² = 1122841036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁷⁴⁹²⁸⁰ is an apocalyptic number.

749280 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 749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

749280 is an abundant number, since it is smaller than the sum of its proper divisors (1960224).

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

749280 is a wasteful number, since it uses less digits than its factorization.

749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 749280 is about 865.6096117766. The cubic root of 749280 is about 90.8269464035.

749280 divided by its sum of digits (30) gives a triangular number (24976 = T₂₂₃).

The spelling of 749280 in words is "seven hundred forty-nine thousand, two hundred eighty".