765372420 has 144 divisors (see below), whose sum is σ = 2398778928. Its totient is φ = 197406720.

The previous prime is 765372401. The next prime is 765372427. The reversal of 765372420 is 24273567.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46703556 + 718668864 = 6834^2 + 26808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (765372427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1010682 + ... + 1011438.

It is an arithmetic number, because the mean of its divisors is an integer number (16658187).

Almost surely, 2^765372420 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 765372420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199389464).

765372420 is an abundant number, since it is smaller than the sum of its proper divisors (1633406508).

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

765372420 is a wasteful number, since it uses less digits than its factorization.

765372420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 765372420 is about 27665.3649894593. The cubic root of 765372420 is about 914.7258159037.

The spelling of 765372420 in words is "seven hundred sixty-five million, three hundred seventy-two thousand, four hundred twenty".