765893093238 has 192 divisors, whose sum is σ = 2243350287360. Its totient is φ = 183042249984.

The previous prime is 765893093201. The next prime is 765893093239. The reversal of 765893093238 is 832390398567.

765893093238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×765893093238² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765893093239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180820 + ... + 1250792.

It is an arithmetic number, because the mean of its divisors is an integer number (11684116080).

Almost surely, 2^765893093238 is an apocalyptic number.

765893093238 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 765893093238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121675143680).

765893093238 is an abundant number, since it is smaller than the sum of its proper divisors (1477457194122).

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

765893093238 is a wasteful number, since it uses less digits than its factorization.

765893093238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070043 (or 1070040 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 765893093238 in words is "seven hundred sixty-five billion, eight hundred ninety-three million, ninety-three thousand, two hundred thirty-eight".