76720320 has 168 divisors, whose sum is σ = 279586944. Its totient is φ = 19243008.

The previous prime is 76720291. The next prime is 76720327. The reversal of 76720320 is 2302767.

It is not an unprimeable number, because it can be changed into a prime (76720327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48177 + ... + 49743.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^76720320 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 76720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

76720320 is an abundant number, since it is smaller than the sum of its proper divisors (202866624).

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

76720320 is a wasteful number, since it uses less digits than its factorization.

76720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 76720320 is about 8759.0136430993. The cubic root of 76720320 is about 424.9163757038.

The spelling of 76720320 in words is "seventy-six million, seven hundred twenty thousand, three hundred twenty".