760800 has 72 divisors (see below), whose sum is σ = 2484216. Its totient is φ = 202240.

The previous prime is 760783. The next prime is 760807. The reversal of 760800 is 8067.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760807) by changing a digit.

760800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2242 + ... + 2558.

It is an arithmetic number, because the mean of its divisors is an integer number (34503).

2⁷⁶⁰⁸⁰⁰ 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 760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242108).

760800 is an abundant number, since it is smaller than the sum of its proper divisors (1723416).

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

760800 is a wasteful number, since it uses less digits than its factorization.

760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 760800 is about 872.2384994943. The cubic root of 760800 is about 91.2900618485.

Adding to 760800 its reverse (8067), we get a palindrome (768867).

The spelling of 760800 in words is "seven hundred sixty thousand, eight hundred".