755462400 has 648 divisors, whose sum is σ = 3207232224. Its totient is φ = 154828800.

The previous prime is 755462387. The next prime is 755462413. The reversal of 755462400 is 4264557.

It is an interprime number because it is at equal distance from previous prime (755462387) and next prime (755462413).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 10348764 + ... + 10348836.

Almost surely, 2^755462400 is an apocalyptic number.

755462400 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 755462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603616112).

755462400 is an abundant number, since it is smaller than the sum of its proper divisors (2451769824).

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

755462400 is a wasteful number, since it uses less digits than its factorization.

755462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 755462400 is about 27485.6762696500. The cubic root of 755462400 is about 910.7607051420.

The spelling of 755462400 in words is "seven hundred fifty-five million, four hundred sixty-two thousand, four hundred".