76445928 has 192 divisors, whose sum is σ = 240589440. Its totient is φ = 21745152.

The previous prime is 76445921. The next prime is 76445953. The reversal of 76445928 is 82954467.

It is a happy number.

Its product of digits (483840) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (76445921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140951 + ... + 1141017.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^76445928 is an apocalyptic number.

76445928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76445928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

76445928 is an abundant number, since it is smaller than the sum of its proper divisors (164143512).

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

76445928 is a wasteful number, since it uses less digits than its factorization.

76445928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 76445928 is about 8743.3362053623. The cubic root of 76445928 is about 424.4091961587.

The spelling of 76445928 in words is "seventy-six million, four hundred forty-five thousand, nine hundred twenty-eight".