76903360 has 56 divisors (see below), whose sum is σ = 189463680. Its totient is φ = 29697024.

The previous prime is 76903349. The next prime is 76903363. The reversal of 76903360 is 6330967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76903363) 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, 5137 + ... + 13423.

It is an arithmetic number, because the mean of its divisors is an integer number (3383280).

Almost surely, 2^76903360 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 76903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731840).

76903360 is an abundant number, since it is smaller than the sum of its proper divisors (112560320).

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

76903360 is a wasteful number, since it uses less digits than its factorization.

76903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 34.

The square root of 76903360 is about 8769.4560834752. The cubic root of 76903360 is about 425.2540303687.

The spelling of 76903360 in words is "seventy-six million, nine hundred three thousand, three hundred sixty".