755838720 has 648 divisors, whose sum is σ = 3307895136. Its totient is φ = 157925376.

The previous prime is 755838697. The next prime is 755838749. The reversal of 755838720 is 27838557.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338189 + ... + 7338291.

Almost surely, 2^755838720 is an apocalyptic number.

755838720 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 755838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653947568).

755838720 is an abundant number, since it is smaller than the sum of its proper divisors (2552056416).

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

755838720 is a wasteful number, since it uses less digits than its factorization.

755838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 755838720 is about 27492.5211648550. The cubic root of 755838720 is about 910.9119063908.

The spelling of 755838720 in words is "seven hundred fifty-five million, eight hundred thirty-eight thousand, seven hundred twenty".