765450000 has 480 divisors, whose sum is σ = 3177296640. Its totient is φ = 174960000.

The previous prime is 765449999. The next prime is 765450019. The reversal of 765450000 is 54567.

765450000 is a `hidden beast` number, since 7 + 654 + 5 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109349997 + ... + 109350003.

It is an arithmetic number, because the mean of its divisors is an integer number (6619368).

Almost surely, 2^765450000 is an apocalyptic number.

765450000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588648320).

765450000 is an abundant number, since it is smaller than the sum of its proper divisors (2411846640).

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

765450000 is an frugal number, since it uses more digits than its factorization.

765450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 765450000 is about 27666.7670680909. The cubic root of 765450000 is about 914.7567211334.

The spelling of 765450000 in words is "seven hundred sixty-five million, four hundred fifty thousand".