77971626756 has 63 divisors (see below), whose sum is σ = 204621503863. Its totient is φ = 25985516040.

The previous prime is 77971626749. The next prime is 77971626769. The reversal of 77971626756 is 65762617977.

The square root of 77971626756 is 279234.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77971626693 and 77971626702.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15076051 + ... + 15081221.

Almost surely, 2^77971626756 is an apocalyptic number.

77971626756 is the 279234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77971626756

77971626756 is an abundant number, since it is smaller than the sum of its proper divisors (126649877107).

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

77971626756 is an frugal number, since it uses more digits than its factorization.

77971626756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 5176 counting only the distinct ones).

The product of its digits is 46675440, while the sum is 63.

The spelling of 77971626756 in words is "seventy-seven billion, nine hundred seventy-one million, six hundred twenty-six thousand, seven hundred fifty-six".