755000400 has 240 divisors, whose sum is σ = 3015664128. Its totient is φ = 156864000.

The previous prime is 755000387. The next prime is 755000419. The reversal of 755000400 is 4000557.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88315 + ... + 96485.

Almost surely, 2^755000400 is an apocalyptic number.

755000400 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 755000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507832064).

755000400 is an abundant number, since it is smaller than the sum of its proper divisors (2260663728).

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

755000400 is a wasteful number, since it uses less digits than its factorization.

755000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 755000400 is about 27477.2706068125. The cubic root of 755000400 is about 910.5750099313.

Adding to 755000400 its reverse (4000557), we get a palindrome (759000957).

The spelling of 755000400 in words is "seven hundred fifty-five million, four hundred", and thus it is an aban number.