749085120 has 336 divisors, whose sum is σ = 2990819520. Its totient is φ = 168542208.

The previous prime is 749085101. The next prime is 749085121. The reversal of 749085120 is 21580947.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×749085120² = 1122257034010828800, 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 (749085121) 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 47 ways as a sum of consecutive naturals, for example, 1471426 + ... + 1471934.

Almost surely, 2^749085120 is an apocalyptic number.

749085120 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 749085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495409760).

749085120 is an abundant number, since it is smaller than the sum of its proper divisors (2241734400).

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

749085120 is a wasteful number, since it uses less digits than its factorization.

749085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 749085120 is about 27369.4194311827. The cubic root of 749085120 is about 908.1907133673.

The spelling of 749085120 in words is "seven hundred forty-nine million, eighty-five thousand, one hundred twenty".