767778480 has 640 divisors, whose sum is σ = 3342643200. Its totient is φ = 157925376.

The previous prime is 767778421. The next prime is 767778503. The reversal of 767778480 is 84877767.

It is a happy number.

It is a super-2 number, since 2×767778480² = 1178967588702220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7454109 + ... + 7454211.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^767778480 is an apocalyptic number.

767778480 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 767778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671321600).

767778480 is an abundant number, since it is smaller than the sum of its proper divisors (2574864720).

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

767778480 is a wasteful number, since it uses less digits than its factorization.

767778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The square root of 767778480 is about 27708.8159256219. The cubic root of 767778480 is about 915.6833379721.

The spelling of 767778480 in words is "seven hundred sixty-seven million, seven hundred seventy-eight thousand, four hundred eighty".