755700100 has 27 divisors (see below), whose sum is σ = 1640465967. Its totient is φ = 302170080.

The previous prime is 755700097. The next prime is 755700107. The reversal of 755700100 is 1007557.

The square root of 755700100 is 27490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 223382916 + 532317184 = 14946^2 + 23072^2 .

It is a super-2 number, since 2×755700100² = 1142165282280020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (755700107) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 273526 + ... + 276274.

Almost surely, 2^755700100 is an apocalyptic number.

755700100 is the 27490-th square number.

It is an amenable number.

755700100 is an abundant number, since it is smaller than the sum of its proper divisors (884765867).

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

755700100 is an equidigital number, since it uses as much as digits as its factorization.

755700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 25.

The cubic root of 755700100 is about 910.8562162349.

Multiplying 755700100 by its sum of digits (25), we get a square (18892502500 = 137450²).

755700100 divided by its sum of digits (25) gives a square (30228004 = 5498²).

Multiplying 755700100 by its product of nonzero digits (1225), we get a square (925732622500 = 962150²).

Adding to 755700100 its reverse (1007557), we get a palindrome (756707657).

The spelling of 755700100 in words is "seven hundred fifty-five million, seven hundred thousand, one hundred".