749931000 has 512 divisors, whose sum is σ = 2994001920. Its totient is φ = 152064000.

The previous prime is 749930977. The next prime is 749931001. The reversal of 749931000 is 139947.

749931000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×749931000² = 1124793009522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749931001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11192967 + ... + 11193033.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^749931000 is an apocalyptic number.

749931000 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 749931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

749931000 is an abundant number, since it is smaller than the sum of its proper divisors (2244070920).

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

749931000 is a wasteful number, since it uses less digits than its factorization.

749931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 749931000 is about 27384.8680844002. The cubic root of 749931000 is about 908.5324330458.

The spelling of 749931000 in words is "seven hundred forty-nine million, nine hundred thirty-one thousand".