76894691328 has 672 divisors, whose sum is σ = 278896852416. Its totient is φ = 19874709504.

The previous prime is 76894691311. The next prime is 76894691333. The reversal of 76894691328 is 82319649867.

76894691328 is a `hidden beast` number, since 76 + 89 + 469 + 1 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489775026 + ... + 489775182.

It is an arithmetic number, because the mean of its divisors is an integer number (415025078).

Almost surely, 2^76894691328 is an apocalyptic number.

76894691328 is a gapful number since it is divisible by the number (78) 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 76894691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139448426208).

76894691328 is an abundant number, since it is smaller than the sum of its proper divisors (202002161088).

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

76894691328 is a wasteful number, since it uses less digits than its factorization.

76894691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 76894691328 in words is "seventy-six billion, eight hundred ninety-four million, six hundred ninety-one thousand, three hundred twenty-eight".