761101200 has 180 divisors, whose sum is σ = 2691741780. Its totient is φ = 199080960.

The previous prime is 761101153. The next prime is 761101207. The reversal of 761101200 is 2101167.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 759774096 = 1152^2 + 27564^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (761101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188806 + ... + 192794.

It is an arithmetic number, because the mean of its divisors is an integer number (14954121).

Almost surely, 2^761101200 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 761101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345870890).

761101200 is an abundant number, since it is smaller than the sum of its proper divisors (1930640580).

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

761101200 is a wasteful number, since it uses less digits than its factorization.

761101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 761101200 is about 27588.0626358576. The cubic root of 761101200 is about 913.0210747535.

Adding to 761101200 its reverse (2101167), we get a palindrome (763202367).

The spelling of 761101200 in words is "seven hundred sixty-one million, one hundred one thousand, two hundred".