755413680 has 160 divisors (see below), whose sum is σ = 2738824704. Its totient is φ = 168634368.

The previous prime is 755413667. The next prime is 755413693. The reversal of 755413680 is 86314557.

It is an interprime number because it is at equal distance from previous prime (755413667) and next prime (755413693).

It is a super-2 number, since 2×755413680² = 1141299655862284800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 67012 + ... + 77468.

Almost surely, 2^755413680 is an apocalyptic number.

755413680 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 755413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369412352).

755413680 is an abundant number, since it is smaller than the sum of its proper divisors (1983411024).

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

755413680 is a wasteful number, since it uses less digits than its factorization.

755413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 755413680 is about 27484.7899755483. The cubic root of 755413680 is about 910.7411263095.

The spelling of 755413680 in words is "seven hundred fifty-five million, four hundred thirteen thousand, six hundred eighty".