775488000 has 320 divisors, whose sum is σ = 2951739648. Its totient is φ = 176947200.

The previous prime is 775487989. The next prime is 775488013. The reversal of 775488000 is 884577.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 775488000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343712 + ... + 1344288.

Almost surely, 2^775488000 is an apocalyptic number.

775488000 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 775488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475869824).

775488000 is an abundant number, since it is smaller than the sum of its proper divisors (2176251648).

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

775488000 is an equidigital number, since it uses as much as digits as its factorization.

775488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 775488000 is about 27847.5851735837. The cubic root of 775488000 is about 918.7380302943.

The spelling of 775488000 in words is "seven hundred seventy-five million, four hundred eighty-eight thousand".