76477320 has 48 divisors (see below), whose sum is σ = 248552460. Its totient is φ = 20393856.

The previous prime is 76477307. The next prime is 76477361. The reversal of 76477320 is 2377467.

76477320 is a `hidden beast` number, since 7 + 647 + 7 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76422564 + 54756 = 8742^2 + 234^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105859 + ... + 106578.

Almost surely, 2^76477320 is an apocalyptic number.

It is an amenable number.

76477320 is an abundant number, since it is smaller than the sum of its proper divisors (172075140).

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

76477320 is a wasteful number, since it uses less digits than its factorization.

76477320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212454 (or 212447 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 76477320 is about 8745.1312168543. The cubic root of 76477320 is about 424.4672817912.

The spelling of 76477320 in words is "seventy-six million, four hundred seventy-seven thousand, three hundred twenty".