765440 has 80 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 270336.

The previous prime is 765439. The next prime is 765461. The reversal of 765440 is 44567.

765440 = T₅₃ + T₅₄ + ... + T₁₆₇.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33269 + ... + 33291.

2⁷⁶⁵⁴⁴⁰ 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 765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

765440 is an abundant number, since it is smaller than the sum of its proper divisors (1296928).

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

765440 is a wasteful number, since it uses less digits than its factorization.

765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 765440 is about 874.8942793275. The cubic root of 765440 is about 91.4752737591.

The spelling of 765440 in words is "seven hundred sixty-five thousand, four hundred forty".