76438389888 has 768 divisors, whose sum is σ = 280051200000. Its totient is φ = 19510419456.

The previous prime is 76438389871. The next prime is 76438389949. The reversal of 76438389888 is 88898383467.

76438389888 is a `hidden beast` number, since 76 + 438 + 38 + 98 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

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, 384112413 + ... + 384112611.

It is an arithmetic number, because the mean of its divisors is an integer number (364650000).

Almost surely, 2^76438389888 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 76438389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140025600000).

76438389888 is an abundant number, since it is smaller than the sum of its proper divisors (203612810112).

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

76438389888 is a wasteful number, since it uses less digits than its factorization.

76438389888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 76438389888 in words is "seventy-six billion, four hundred thirty-eight million, three hundred eighty-nine thousand, eight hundred eighty-eight".