771204051072 has 768 divisors, whose sum is σ = 2778808032000. Its totient is φ = 199896367104.

The previous prime is 771204051029. The next prime is 771204051109. The reversal of 771204051072 is 270150402177.

771204051072 is a `hidden beast` number, since 7 + 71 + 2 + 0 + 4 + 0 + 510 + 72 = 666.

771204051072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2209753554 + ... + 2209753902.

It is an arithmetic number, because the mean of its divisors is an integer number (3618239625).

Almost surely, 2^771204051072 is an apocalyptic number.

771204051072 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 771204051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389404016000).

771204051072 is an abundant number, since it is smaller than the sum of its proper divisors (2007603980928).

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

771204051072 is a wasteful number, since it uses less digits than its factorization.

771204051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 771204051072 in words is "seven hundred seventy-one billion, two hundred four million, fifty-one thousand, seventy-two".