761367440 has 80 divisors (see below), whose sum is σ = 1934876160. Its totient is φ = 277370880.

The previous prime is 761367427. The next prime is 761367461. The reversal of 761367440 is 44763167.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 761367394 and 761367403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33131 + ... + 51189.

It is an arithmetic number, because the mean of its divisors is an integer number (24185952).

Almost surely, 2^761367440 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 761367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967438080).

761367440 is an abundant number, since it is smaller than the sum of its proper divisors (1173508720).

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

761367440 is a wasteful number, since it uses less digits than its factorization.

761367440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18120 (or 18114 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 761367440 is about 27592.8874893513. The cubic root of 761367440 is about 913.1275233187.

The spelling of 761367440 in words is "seven hundred sixty-one million, three hundred sixty-seven thousand, four hundred forty".