763200 has 126 divisors (see below), whose sum is σ = 2763774. Its totient is φ = 199680.

The previous prime is 763183. The next prime is 763201. The reversal of 763200 is 2367.

It can be written as a sum of positive squares in 3 ways, for example, as 97344 + 665856 = 312^2 + 816^2 .

It is a super-3 number, since 3×763200³ = 1333633019904000000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 763200.

It is not an unprimeable number, because it can be changed into a prime (763201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14374 + ... + 14426.

2⁷⁶³²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381887).

763200 is an abundant number, since it is smaller than the sum of its proper divisors (2000574).

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

763200 is a wasteful number, since it uses less digits than its factorization.

763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 763200 is about 873.6131867137. The cubic root of 763200 is about 91.3859548411.

Adding to 763200 its reverse (2367), we get a palindrome (765567).

The spelling of 763200 in words is "seven hundred sixty-three thousand, two hundred".