754125120 has 448 divisors, whose sum is σ = 3131880960. Its totient is φ = 167215104.

The previous prime is 754125107. The next prime is 754125139. The reversal of 754125120 is 21521457.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237592 + ... + 2237928.

Almost surely, 2^754125120 is an apocalyptic number.

754125120 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 754125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565940480).

754125120 is an abundant number, since it is smaller than the sum of its proper divisors (2377755840).

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

754125120 is a wasteful number, since it uses less digits than its factorization.

754125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 754125120 is about 27461.3386418070. The cubic root of 754125120 is about 910.2229940973. Note that the first 3 decimals are identical.

Adding to 754125120 its reverse (21521457), we get a palindrome (775646577).

The spelling of 754125120 in words is "seven hundred fifty-four million, one hundred twenty-five thousand, one hundred twenty".