76433920 has 80 divisors (see below), whose sum is σ = 186226920. Its totient is φ = 30081024.

The previous prime is 76433893. The next prime is 76433923. The reversal of 76433920 is 2933467.

It can be written as a sum of positive squares in 4 ways, for example, as 73822464 + 2611456 = 8592^2 + 1616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (76433923) 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, 186676 + ... + 187084.

Almost surely, 2^76433920 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 76433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93113460).

76433920 is an abundant number, since it is smaller than the sum of its proper divisors (109793000).

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

76433920 is an equidigital number, since it uses as much as digits as its factorization.

76433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 76433920 is about 8742.6494839951. The cubic root of 76433920 is about 424.3869731635.

The spelling of 76433920 in words is "seventy-six million, four hundred thirty-three thousand, nine hundred twenty".