76431264 has 144 divisors (see below), whose sum is σ = 248657472. Its totient is φ = 20127744.

The previous prime is 76431209. The next prime is 76431283. The reversal of 76431264 is 46213467.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 113232 + ... + 113904.

It is an arithmetic number, because the mean of its divisors is an integer number (1726788).

Almost surely, 2^76431264 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 76431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124328736).

76431264 is an abundant number, since it is smaller than the sum of its proper divisors (172226208).

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

76431264 is a wasteful number, since it uses less digits than its factorization.

76431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 76431264 is about 8742.4975836428. The cubic root of 76431264 is about 424.3820574364.

The spelling of 76431264 in words is "seventy-six million, four hundred thirty-one thousand, two hundred sixty-four".