753949152 has 144 divisors (see below), whose sum is σ = 2349285120. Its totient is φ = 227462400.

The previous prime is 753949139. The next prime is 753949153. The reversal of 753949152 is 251949357.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 753949098 and 753949107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753949153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048249 + ... + 1048967.

It is an arithmetic number, because the mean of its divisors is an integer number (16314480).

Almost surely, 2^753949152 is an apocalyptic number.

753949152 is a gapful number since it is divisible by the number (72) 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 753949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174642560).

753949152 is an abundant number, since it is smaller than the sum of its proper divisors (1595335968).

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

753949152 is a wasteful number, since it uses less digits than its factorization.

753949152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1066 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 753949152 is about 27458.1345324113. The cubic root of 753949152 is about 910.1521912666.

The spelling of 753949152 in words is "seven hundred fifty-three million, nine hundred forty-nine thousand, one hundred fifty-two".