771007425552 has 480 divisors, whose sum is σ = 2764630552320. Its totient is φ = 202561689600.

The previous prime is 771007425527. The next prime is 771007425557. The reversal of 771007425552 is 255524700177.

771007425552 is a `hidden beast` number, since 7 + 7 + 1 + 0 + 0 + 74 + 25 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 771007425498 and 771007425507.

It is not an unprimeable number, because it can be changed into a prime (771007425557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95170302 + ... + 95178402.

It is an arithmetic number, because the mean of its divisors is an integer number (5759646984).

Almost surely, 2^771007425552 is an apocalyptic number.

771007425552 is a gapful number since it is divisible by the number (72) 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 771007425552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382315276160).

771007425552 is an abundant number, since it is smaller than the sum of its proper divisors (1993623126768).

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

771007425552 is a wasteful number, since it uses less digits than its factorization.

771007425552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 771007425552 in words is "seven hundred seventy-one billion, seven million, four hundred twenty-five thousand, five hundred fifty-two".