771648384 has 128 divisors (see below), whose sum is σ = 2218769280. Its totient is φ = 236206080.

The previous prime is 771648341. The next prime is 771648389. The reversal of 771648384 is 483846177.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×771648384² = 1190882457059622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771648389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1652119 + ... + 1652585.

It is an arithmetic number, because the mean of its divisors is an integer number (17334135).

Almost surely, 2^771648384 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 771648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109384640).

771648384 is an abundant number, since it is smaller than the sum of its proper divisors (1447120896).

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

771648384 is a wasteful number, since it uses less digits than its factorization.

771648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 771648384 is about 27778.5597898811. The cubic root of 771648384 is about 917.2192278149.

It can be divided in two parts, 77 and 1648384, that added together give a palindrome (1648461).

The spelling of 771648384 in words is "seven hundred seventy-one million, six hundred forty-eight thousand, three hundred eighty-four".