76800462 has 16 divisors (see below), whose sum is σ = 157347792. Its totient is φ = 24975680.

The previous prime is 76800457. The next prime is 76800463. The reversal of 76800462 is 26400867.

It is a super-3 number, since 3×76800462³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76800463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155853 + ... + 156344.

It is an arithmetic number, because the mean of its divisors is an integer number (9834237).

Almost surely, 2^76800462 is an apocalyptic number.

76800462 is an abundant number, since it is smaller than the sum of its proper divisors (80547330).

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

76800462 is a wasteful number, since it uses less digits than its factorization.

76800462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312243.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76800462 is about 8763.5872791911. The cubic root of 76800462 is about 425.0642800121.

The spelling of 76800462 in words is "seventy-six million, eight hundred thousand, four hundred sixty-two".