755166720 has 320 divisors, whose sum is σ = 3012235776. Its totient is φ = 156794880.

The previous prime is 755166701. The next prime is 755166739. The reversal of 755166720 is 27661557.

It is an interprime number because it is at equal distance from previous prime (755166701) and next prime (755166739).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590722 + ... + 591998.

Almost surely, 2^755166720 is an apocalyptic number.

755166720 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 755166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506117888).

755166720 is an abundant number, since it is smaller than the sum of its proper divisors (2257069056).

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

755166720 is a wasteful number, since it uses less digits than its factorization.

755166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 755166720 is about 27480.2969416271. The cubic root of 755166720 is about 910.6418689318.

The spelling of 755166720 in words is "seven hundred fifty-five million, one hundred sixty-six thousand, seven hundred twenty".