76431936 has 224 divisors, whose sum is σ = 250179840. Its totient is φ = 20127744.

The previous prime is 76431911. The next prime is 76431959. The reversal of 76431936 is 63913467.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 76431894 and 76431903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442086 + ... + 1442138.

Almost surely, 2^76431936 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 76431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

76431936 is an abundant number, since it is smaller than the sum of its proper divisors (173747904).

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

76431936 is a wasteful number, since it uses less digits than its factorization.

76431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 76431936 is about 8742.5360165115. The cubic root of 76431936 is about 424.3833011854.

The spelling of 76431936 in words is "seventy-six million, four hundred thirty-one thousand, nine hundred thirty-six".