749000 has 64 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 254400.

The previous prime is 748987. The next prime is 749011. The reversal of 749000 is 947.

It is a super-2 number, since 2×749000² = 1122002000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6947 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2⁷⁴⁹⁰⁰⁰ is an apocalyptic number.

749000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

749000 is the 500-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

749000 is an abundant number, since it is smaller than the sum of its proper divisors (1272760).

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

749000 is a wasteful number, since it uses less digits than its factorization.

749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 749000 is about 865.4478609368. The cubic root of 749000 is about 90.8156312238.

Adding to 749000 its reverse (947), we get a palindrome (749947).

It can be divided in two parts, 7 and 49000, that multiplied together give a cube (343000 = 70³).

The spelling of 749000 in words is "seven hundred forty-nine thousand".