76427809290000 has 2025 divisors, whose sum is σ = 326827967595129. Its totient is φ = 16617363840000.

The previous prime is 76427809289981. The next prime is 76427809290013. The reversal of 76427809290000 is 9290872467.

The square root of 76427809290000 is 8742300.

It is a perfect power (a square), and thus also a powerful number.

76427809290000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 74014981414416 + 2412827875584 = 8603196^2 + 1553328^2 .

It is a super-2 number, since 2×76427809290000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 422253089910 + ... + 422253090090.

Almost surely, 2^{76427809290000} is an apocalyptic number.

76427809290000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76427809290000 is the 8742300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76427809290000

76427809290000 is an abundant number, since it is smaller than the sum of its proper divisors (250400158305129).

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

76427809290000 is a wasteful number, since it uses less digits than its factorization.

76427809290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76427809290000 in words is "seventy-six trillion, four hundred twenty-seven billion, eight hundred nine million, two hundred ninety thousand".