761344000 has 104 divisors (see below), whose sum is σ = 1901360448. Its totient is φ = 304332800.

The previous prime is 761343991. The next prime is 761344007. The reversal of 761344000 is 443167.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (761344007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511257 + ... + 512743.

It is an arithmetic number, because the mean of its divisors is an integer number (18282312).

Almost surely, 2^761344000 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 761344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950680224).

761344000 is an abundant number, since it is smaller than the sum of its proper divisors (1140016448).

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

761344000 is an equidigital number, since it uses as much as digits as its factorization.

761344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 761344000 is about 27592.4627389438. The cubic root of 761344000 is about 913.1181524912.

Adding to 761344000 its reverse (443167), we get a palindrome (761787167).

The spelling of 761344000 in words is "seven hundred sixty-one million, three hundred forty-four thousand".