740175120 has 120 divisors (see below), whose sum is σ = 2571543000. Its totient is φ = 190568448.

The previous prime is 740175109. The next prime is 740175131. The reversal of 740175120 is 21571047.

It is an interprime number because it is at equal distance from previous prime (740175109) and next prime (740175131).

It can be written as a sum of positive squares in 4 ways, for example, as 48274704 + 691900416 = 6948^2 + 26304^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156 + ... + 38604.

It is an arithmetic number, because the mean of its divisors is an integer number (21429525).

Almost surely, 2^740175120 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 740175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285771500).

740175120 is an abundant number, since it is smaller than the sum of its proper divisors (1831367880).

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

740175120 is a wasteful number, since it uses less digits than its factorization.

740175120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35497 (or 35488 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 740175120 is about 27206.1595966796. The cubic root of 740175120 is about 904.5755139200.

The spelling of 740175120 in words is "seven hundred forty million, one hundred seventy-five thousand, one hundred twenty".