777084480 has 168 divisors, whose sum is σ = 2738454264. Its totient is φ = 202137600.

The previous prime is 777084479. The next prime is 777084481. The reversal of 777084480 is 84480777.

It is an interprime number because it is at equal distance from previous prime (777084479) and next prime (777084481).

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 769729536 = 2712^2 + 27744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (777084481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114790 + ... + 121370.

It is an arithmetic number, because the mean of its divisors is an integer number (16300323).

Almost surely, 2^777084480 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 777084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369227132).

777084480 is an abundant number, since it is smaller than the sum of its proper divisors (1961369784).

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

777084480 is a wasteful number, since it uses less digits than its factorization.

777084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 777084480 is about 27876.2350399045. The cubic root of 777084480 is about 919.3680600392.

The spelling of 777084480 in words is "seven hundred seventy-seven million, eighty-four thousand, four hundred eighty".