777790080 has 512 divisors, whose sum is σ = 3055104000. Its totient is φ = 186126336.

The previous prime is 777790051. The next prime is 777790127. The reversal of 777790080 is 80097777.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7551309 + ... + 7551411.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^777790080 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 777790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527552000).

777790080 is an abundant number, since it is smaller than the sum of its proper divisors (2277313920).

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

777790080 is a wasteful number, since it uses less digits than its factorization.

777790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The square root of 777790080 is about 27888.8881097831. Note that the first 3 decimals coincide. The cubic root of 777790080 is about 919.6462408012.

The spelling of 777790080 in words is "seven hundred seventy-seven million, seven hundred ninety thousand, eighty".