76821417 has 24 divisors (see below), whose sum is σ = 113568000. Its totient is φ = 50027328.

The previous prime is 76821383. The next prime is 76821421. The reversal of 76821417 is 71412867.

It is not a de Polignac number, because 76821417 - 2¹⁴ = 76805033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76821457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72709 + ... + 73757.

It is an arithmetic number, because the mean of its divisors is an integer number (4732000).

Almost surely, 2^76821417 is an apocalyptic number.

It is an amenable number.

76821417 is a deficient number, since it is larger than the sum of its proper divisors (36746583).

76821417 is a wasteful number, since it uses less digits than its factorization.

76821417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1234 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 76821417 is about 8764.7827696983. The cubic root of 76821417 is about 425.1029360816.

The spelling of 76821417 in words is "seventy-six million, eight hundred twenty-one thousand, four hundred seventeen".