771772320 has 384 divisors, whose sum is σ = 2993760000. Its totient is φ = 184135680.

The previous prime is 771772301. The next prime is 771772327. The reversal of 771772320 is 23277177.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (771772327) 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 63 ways as a sum of consecutive naturals, for example, 5179606 + ... + 5179754.

It is an arithmetic number, because the mean of its divisors is an integer number (7796250).

Almost surely, 2^771772320 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 771772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880000).

771772320 is an abundant number, since it is smaller than the sum of its proper divisors (2221987680).

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

771772320 is a wasteful number, since it uses less digits than its factorization.

771772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 771772320 is about 27780.7904855135. The cubic root of 771772320 is about 917.2683306616.

It can be divided in two parts, 77177 and 2320, that added together give a palindrome (79497).

The spelling of 771772320 in words is "seven hundred seventy-one million, seven hundred seventy-two thousand, three hundred twenty".