749088000 has 540 divisors, whose sum is σ = 2961210252. Its totient is φ = 188006400.

The previous prime is 749087987. The next prime is 749088001. The reversal of 749088000 is 880947.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 69755904 + 679332096 = 8352^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×749088000² = 1122265663488000000, which contains 22 as substring.

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 (749088001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 44063992 + ... + 44064008.

Almost surely, 2^749088000 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 749088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480605126).

749088000 is an abundant number, since it is smaller than the sum of its proper divisors (2212122252).

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

749088000 is an equidigital number, since it uses as much as digits as its factorization.

749088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 749088000 is about 27369.4720445974. The cubic root of 749088000 is about 908.1918772697.

The spelling of 749088000 in words is "seven hundred forty-nine million, eighty-eight thousand".