755206740 has 120 divisors (see below), whose sum is σ = 2379290760. Its totient is φ = 200524032.

The previous prime is 755206729. The next prime is 755206787. The reversal of 755206740 is 47602557.

755206740 is a `hidden beast` number, since 7 + 552 + 0 + 67 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 754491024 = 846^2 + 27468^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 755206695 and 755206704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434914 + ... + 436646.

It is an arithmetic number, because the mean of its divisors is an integer number (19827423).

Almost surely, 2^755206740 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 755206740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189645380).

755206740 is an abundant number, since it is smaller than the sum of its proper divisors (1624084020).

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

755206740 is a wasteful number, since it uses less digits than its factorization.

755206740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 755206740 is about 27481.0250900508. The cubic root of 755206740 is about 910.6579551120.

The spelling of 755206740 in words is "seven hundred fifty-five million, two hundred six thousand, seven hundred forty".