76303968 has 48 divisors (see below), whose sum is σ = 215708976. Its totient is φ = 23477760.

The previous prime is 76303961. The next prime is 76303979. The reversal of 76303968 is 86930367.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76303961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29323 + ... + 31818.

It is an arithmetic number, because the mean of its divisors is an integer number (4493937).

Almost surely, 2^76303968 is an apocalyptic number.

76303968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

76303968 is an abundant number, since it is smaller than the sum of its proper divisors (139405008).

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

76303968 is a wasteful number, since it uses less digits than its factorization.

76303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61167 (or 61159 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 76303968 is about 8735.2142503776. The cubic root of 76303968 is about 424.1463242449.

The spelling of 76303968 in words is "seventy-six million, three hundred three thousand, nine hundred sixty-eight".