755193420 has 144 divisors (see below), whose sum is σ = 2353391040. Its totient is φ = 195955200.

The previous prime is 755193407. The next prime is 755193433. The reversal of 755193420 is 24391557.

It is an interprime number because it is at equal distance from previous prime (755193407) and next prime (755193433).

It is a super-2 number, since 2×755193420² = 1140634203222592800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196505 + ... + 1197135.

Almost surely, 2^755193420 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 755193420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176695520).

755193420 is an abundant number, since it is smaller than the sum of its proper divisors (1598197620).

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

755193420 is a wasteful number, since it uses less digits than its factorization.

755193420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 755193420 is about 27480.7827399439. The cubic root of 755193420 is about 910.6526011541.

The spelling of 755193420 in words is "seven hundred fifty-five million, one hundred ninety-three thousand, four hundred twenty".