767967480 has 192 divisors, whose sum is σ = 2958359040. Its totient is φ = 175519872.

The previous prime is 767967461. The next prime is 767967481. The reversal of 767967480 is 84769767.

767967480 is a `hidden beast` number, since 76 + 7 + 96 + 7 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767967481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62397 + ... + 73683.

It is an arithmetic number, because the mean of its divisors is an integer number (15408120).

Almost surely, 2^767967480 is an apocalyptic number.

767967480 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 767967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479179520).

767967480 is an abundant number, since it is smaller than the sum of its proper divisors (2190391560).

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

767967480 is a wasteful number, since it uses less digits than its factorization.

767967480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 767967480 is about 27712.2261826797. The cubic root of 767967480 is about 915.7584681286.

The spelling of 767967480 in words is "seven hundred sixty-seven million, nine hundred sixty-seven thousand, four hundred eighty".