775984320 has 448 divisors, whose sum is σ = 2999232000. Its totient is φ = 188116992.

The previous prime is 775984309. The next prime is 775984331. The reversal of 775984320 is 23489577.

It is an interprime number because it is at equal distance from previous prime (775984309) and next prime (775984331).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760559 + ... + 4760721.

Almost surely, 2^775984320 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 775984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499616000).

775984320 is an abundant number, since it is smaller than the sum of its proper divisors (2223247680).

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

775984320 is a wasteful number, since it uses less digits than its factorization.

775984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 775984320 is about 27856.4951133483. The cubic root of 775984320 is about 918.9339889745.

It can be divided in two parts, 77598 and 4320, that added together give a palindrome (81918).

The spelling of 775984320 in words is "seven hundred seventy-five million, nine hundred eighty-four thousand, three hundred twenty".