775613440 has 352 divisors, whose sum is σ = 2405306880. Its totient is φ = 233570304.

The previous prime is 775613437. The next prime is 775613453. The reversal of 775613440 is 44316577.

It is a self number, because there is not a number n which added to its sum of digits gives 775613440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11576287 + ... + 11576353.

Almost surely, 2^775613440 is an apocalyptic number.

775613440 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 775613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202653440).

775613440 is an abundant number, since it is smaller than the sum of its proper divisors (1629693440).

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

775613440 is a wasteful number, since it uses less digits than its factorization.

775613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 775613440 is about 27849.8373424334. The cubic root of 775613440 is about 918.7875648176.

The spelling of 775613440 in words is "seven hundred seventy-five million, six hundred thirteen thousand, four hundred forty".