771920903560896 has 672 divisors, whose sum is σ = 2369079356970240. Its totient is φ = 246442386677760.

The previous prime is 771920903560889. The next prime is 771920903560909. The reversal of 771920903560896 is 698065309029177.

771920903560896 is a `hidden beast` number, since 7 + 7 + 1 + 9 + 2 + 0 + 9 + 0 + 3 + 5 + 608 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 147679527435 + ... + 147679532661.

Almost surely, 2^{771920903560896} 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 771920903560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184539678485120).

771920903560896 is an abundant number, since it is smaller than the sum of its proper divisors (1597158453409344).

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

771920903560896 is a wasteful number, since it uses less digits than its factorization.

771920903560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

It can be divided in two parts, 77192090 and 3560896, that added together give a triangular number (80752986 = T₁₂₇₀₈).

The spelling of 771920903560896 in words is "seven hundred seventy-one trillion, nine hundred twenty billion, nine hundred three million, five hundred sixty thousand, eight hundred ninety-six".