761840 has 40 divisors (see below), whose sum is σ = 1807920. Its totient is φ = 298496.

The previous prime is 761833. The next prime is 761861. The reversal of 761840 is 48167.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

761840 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7067 + ... + 7173.

It is an arithmetic number, because the mean of its divisors is an integer number (45198).

2⁷⁶¹⁸⁴⁰ 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 761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903960).

761840 is an abundant number, since it is smaller than the sum of its proper divisors (1046080).

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

761840 is a wasteful number, since it uses less digits than its factorization.

761840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 761840 is about 872.8344631143. The cubic root of 761840 is about 91.3316402028.

The spelling of 761840 in words is "seven hundred sixty-one thousand, eight hundred forty".