76951314801 has 9 divisors (see below), whose sum is σ = 111153101241. Its totient is φ = 51300321732.

The previous prime is 76951314757. The next prime is 76951314809. The reversal of 76951314801 is 10841315967.

The square root of 76951314801 is 277401.

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

76951314801 is a `hidden beast` number, since 76 + 95 + 13 + 1 + 480 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76951314801 - 2⁷ = 76951314673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76951314809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 785970 + ... + 878436.

Almost surely, 2^76951314801 is an apocalyptic number.

76951314801 is the 277401-st square number.

76951314801 is the 138701-st centered octagonal number.

It is an amenable number.

76951314801 is a deficient number, since it is larger than the sum of its proper divisors (34201786440).

76951314801 is an frugal number, since it uses more digits than its factorization.

76951314801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184940 (or 92470 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 76951314801 in words is "seventy-six billion, nine hundred fifty-one million, three hundred fourteen thousand, eight hundred one".