765950040 has 256 divisors, whose sum is σ = 2715840000. Its totient is φ = 191476224.

The previous prime is 765950039. The next prime is 765950041. The reversal of 765950040 is 40059567.

It is an interprime number because it is at equal distance from previous prime (765950039) and next prime (765950041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 765949977 and 765950004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765950041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3344646 + ... + 3344874.

It is an arithmetic number, because the mean of its divisors is an integer number (10608750).

Almost surely, 2^765950040 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 765950040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357920000).

765950040 is an abundant number, since it is smaller than the sum of its proper divisors (1949889960).

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

765950040 is a wasteful number, since it uses less digits than its factorization.

765950040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 765950040 is about 27675.8024273913. The cubic root of 765950040 is about 914.9558699491.

The spelling of 765950040 in words is "seven hundred sixty-five million, nine hundred fifty thousand, forty".