76627097856 has 243 divisors, whose sum is σ = 226874147409. Its totient is φ = 24873578496.

The previous prime is 76627097849. The next prime is 76627097863. The reversal of 76627097856 is 65879072667.

The square root of 76627097856 is 276816.

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

It is an interprime number because it is at equal distance from previous prime (76627097849) and next prime (76627097863).

It can be written as a sum of positive squares in only one way, i.e., 43497273600 + 33129824256 = 208560^2 + 182016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76627097793 and 76627097802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 969963225 + ... + 969963303.

Almost surely, 2^76627097856 is an apocalyptic number.

76627097856 is the 276816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76627097856

76627097856 is an abundant number, since it is smaller than the sum of its proper divisors (150247049553).

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

76627097856 is an frugal number, since it uses more digits than its factorization.

76627097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 76627097856 in words is "seventy-six billion, six hundred twenty-seven million, ninety-seven thousand, eight hundred fifty-six".