76890801 has 16 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 47201280.

The previous prime is 76890797. The next prime is 76890823. The reversal of 76890801 is 10809867.

76890801 = 169² + 170² + ... + 617².

It is not a de Polignac number, because 76890801 - 2² = 76890797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 76890801.

It is not an unprimeable number, because it can be changed into a prime (76890001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15316 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^76890801 is an apocalyptic number.

It is an amenable number.

76890801 is a deficient number, since it is larger than the sum of its proper divisors (33787599).

76890801 is a wasteful number, since it uses less digits than its factorization.

76890801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 76890801 is about 8768.7399893029. The cubic root of 76890801 is about 425.2308798582.

It can be divided in two parts, 7689080 and 1, that added together give a triangular number (7689081 = T₃₉₂₁).

The spelling of 76890801 in words is "seventy-six million, eight hundred ninety thousand, eight hundred one".