76716801 has 72 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 41150592.

The previous prime is 76716797. The next prime is 76716823. The reversal of 76716801 is 10861767.

It is a happy number.

It is not a de Polignac number, because 76716801 - 2² = 76716797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76716841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202230 + ... + 202608.

It is an arithmetic number, because the mean of its divisors is an integer number (1971060).

Almost surely, 2^76716801 is an apocalyptic number.

It is an amenable number.

76716801 is a deficient number, since it is larger than the sum of its proper divisors (65199519).

76716801 is a wasteful number, since it uses less digits than its factorization.

76716801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 76716801 is about 8758.8127620129. The cubic root of 76716801 is about 424.9098789304.

The spelling of 76716801 in words is "seventy-six million, seven hundred sixteen thousand, eight hundred one".