761200 has 60 divisors (see below), whose sum is σ = 2006568. Its totient is φ = 275200.

The previous prime is 761183. The next prime is 761203. The reversal of 761200 is 2167.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761203) by changing a digit.

761200 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 4314 + ... + 4486.

2⁷⁶¹²⁰⁰ 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 761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003284).

761200 is an abundant number, since it is smaller than the sum of its proper divisors (1245368).

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

761200 is a wasteful number, since it uses less digits than its factorization.

761200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 761200 is about 872.4677644475. The cubic root of 761200 is about 91.3060580047.

Adding to 761200 its reverse (2167), we get a palindrome (763367).

It can be divided in two parts, 761 and 200, that added together give a square (961 = 31²).

The spelling of 761200 in words is "seven hundred sixty-one thousand, two hundred".