76829295050352 has 180 divisors, whose sum is σ = 242060290752280. Its totient is φ = 22611966144768.

The previous prime is 76829295050317. The next prime is 76829295050381. The reversal of 76829295050352 is 25305059292867.

76829295050352 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 9 + 29 + 50 + 503 + 52 = 666.

It is a super-3 number, since 3×76829295050352³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76829295050352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37801102 + ... + 39781677.

Almost surely, 2^{76829295050352} is an apocalyptic number.

76829295050352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76829295050352 is an abundant number, since it is smaller than the sum of its proper divisors (165230995701928).

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

76829295050352 is a wasteful number, since it uses less digits than its factorization.

76829295050352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77582852 (or 77582820 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 76829295050352 in words is "seventy-six trillion, eight hundred twenty-nine billion, two hundred ninety-five million, fifty thousand, three hundred fifty-two".