767638080 has 448 divisors, whose sum is σ = 3041660160. Its totient is φ = 180633600.

The previous prime is 767638073. The next prime is 767638117. The reversal of 767638080 is 80836767.

767638080 is a `hidden beast` number, since 7 + 6 + 7 + 638 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3896542 + ... + 3896738.

It is an arithmetic number, because the mean of its divisors is an integer number (6789420).

Almost surely, 2^767638080 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 767638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520830080).

767638080 is an abundant number, since it is smaller than the sum of its proper divisors (2274022080).

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

767638080 is a wasteful number, since it uses less digits than its factorization.

767638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 767638080 is about 27706.2823200804. The cubic root of 767638080 is about 915.6275190168.

The spelling of 767638080 in words is "seven hundred sixty-seven million, six hundred thirty-eight thousand, eighty".