76433983920 has 480 divisors, whose sum is σ = 300265460352. Its totient is φ = 17062576128.

The previous prime is 76433983903. The next prime is 76433983937. The reversal of 76433983920 is 2938933467.

76433983920 is a `hidden beast` number, since 76 + 433 + 98 + 39 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (76433983903) and next prime (76433983937).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73991724 + ... + 73992756.

Almost surely, 2^76433983920 is an apocalyptic number.

76433983920 is a gapful number since it is divisible by the number (70) 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 76433983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150132730176).

76433983920 is an abundant number, since it is smaller than the sum of its proper divisors (223831476432).

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

76433983920 is a wasteful number, since it uses less digits than its factorization.

76433983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 76433983920 in words is "seventy-six billion, four hundred thirty-three million, nine hundred eighty-three thousand, nine hundred twenty".