76503168 has 192 divisors, whose sum is σ = 257774400. Its totient is φ = 21325824.

The previous prime is 76503143. The next prime is 76503173. The reversal of 76503168 is 86130567.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427303 + ... + 427481.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^76503168 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 76503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

76503168 is an abundant number, since it is smaller than the sum of its proper divisors (181271232).

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

76503168 is a wasteful number, since it uses less digits than its factorization.

76503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76503168 is about 8746.6089428990. The cubic root of 76503168 is about 424.5150972501.

The spelling of 76503168 in words is "seventy-six million, five hundred three thousand, one hundred sixty-eight".