760492800 has 378 divisors, whose sum is σ = 2839530932. Its totient is φ = 201553920.

The previous prime is 760492753. The next prime is 760492801. The reversal of 760492800 is 8294067.

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 (760492801) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 4665519 + ... + 4665681.

Almost surely, 2^760492800 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 760492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419765466).

760492800 is an abundant number, since it is smaller than the sum of its proper divisors (2079038132).

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

760492800 is an equidigital number, since it uses as much as digits as its factorization.

760492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 760492800 is about 27577.0339231760. The cubic root of 760492800 is about 912.7777299354. Note that the first 4 decimals are identical.

The spelling of 760492800 in words is "seven hundred sixty million, four hundred ninety-two thousand, eight hundred".