76305920 has 80 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 29736960.

The previous prime is 76305913. The next prime is 76305941. The reversal of 76305920 is 2950367.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104597 + ... + 105323.

Almost surely, 2^76305920 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 76305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

76305920 is an abundant number, since it is smaller than the sum of its proper divisors (111369568).

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

76305920 is an equidigital number, since it uses as much as digits as its factorization.

76305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 76305920 is about 8735.3259813243. The cubic root of 76305920 is about 424.1499410361.

The spelling of 76305920 in words is "seventy-six million, three hundred five thousand, nine hundred twenty".