769967278080 has 1920 divisors, whose sum is σ = 3422309304960. Its totient is φ = 145662935040.

The previous prime is 769967278063. The next prime is 769967278099. The reversal of 769967278080 is 80872769967.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 769967277996 and 769967278014.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10547496924 + ... + 10547496996.

It is an arithmetic number, because the mean of its divisors is an integer number (1782452763).

Almost surely, 2^769967278080 is an apocalyptic number.

769967278080 is a gapful number since it is divisible by the number (70) 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 769967278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711154652480).

769967278080 is an abundant number, since it is smaller than the sum of its proper divisors (2652342026880).

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

769967278080 is a wasteful number, since it uses less digits than its factorization.

769967278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 69.

The spelling of 769967278080 in words is "seven hundred sixty-nine billion, nine hundred sixty-seven million, two hundred seventy-eight thousand, eighty".