765262080 has 540 divisors, whose sum is σ = 3059150556. Its totient is φ = 182476800.

The previous prime is 765262079. The next prime is 765262081. The reversal of 765262080 is 80262567.

It is an interprime number because it is at equal distance from previous prime (765262079) and next prime (765262081).

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 642318336 = 11088^2 + 25344^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (765262081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545250 + ... + 12545310.

Almost surely, 2^765262080 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 765262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529575278).

765262080 is an abundant number, since it is smaller than the sum of its proper divisors (2293888476).

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

765262080 is a wasteful number, since it uses less digits than its factorization.

765262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 765262080 is about 27663.3707273716. The cubic root of 765262080 is about 914.6818566082.

It can be divided in two parts, 76526 and 2080, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 765262080 in words is "seven hundred sixty-five million, two hundred sixty-two thousand, eighty".