771033461328 has 320 divisors, whose sum is σ = 2417845248000. Its totient is φ = 233822744064.

The previous prime is 771033461323. The next prime is 771033461353. The reversal of 771033461328 is 823164330177.

771033461328 is a `hidden beast` number, since 7 + 7 + 1 + 0 + 3 + 3 + 4 + 613 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771033461323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329641183 + ... + 329643521.

It is an arithmetic number, because the mean of its divisors is an integer number (7555766400).

Almost surely, 2^771033461328 is an apocalyptic number.

771033461328 is a gapful number since it is divisible by the number (78) 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 771033461328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208922624000).

771033461328 is an abundant number, since it is smaller than the sum of its proper divisors (1646811786672).

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

771033461328 is a wasteful number, since it uses less digits than its factorization.

771033461328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 771033461328 in words is "seven hundred seventy-one billion, thirty-three million, four hundred sixty-one thousand, three hundred twenty-eight".