765252020 has 48 divisors (see below), whose sum is σ = 1733986128. Its totient is φ = 282009600.

The previous prime is 765252017. The next prime is 765252023. The reversal of 765252020 is 20252567.

It is an interprime number because it is at equal distance from previous prime (765252017) and next prime (765252023).

It can be written as a sum of positive squares in 8 ways, for example, as 65966884 + 699285136 = 8122^2 + 26444^2 .

It is a super-2 number, since 2×765252020² = 1171221308228160800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765252023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147470 + ... + 152570.

It is an arithmetic number, because the mean of its divisors is an integer number (36124711).

Almost surely, 2^765252020 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 765252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866993064).

765252020 is an abundant number, since it is smaller than the sum of its proper divisors (968734108).

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

765252020 is a wasteful number, since it uses less digits than its factorization.

765252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 765252020 is about 27663.1888978838. The cubic root of 765252020 is about 914.6778485087.

The spelling of 765252020 in words is "seven hundred sixty-five million, two hundred fifty-two thousand, twenty".