77147040 has 48 divisors (see below), whose sum is σ = 243014688. Its totient is φ = 20572416.

The previous prime is 77147033. The next prime is 77147053. The reversal of 77147040 is 4074177.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77146989 and 77147007.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79882 + ... + 80841.

It is an arithmetic number, because the mean of its divisors is an integer number (5062806).

Almost surely, 2^77147040 is an apocalyptic number.

It is an amenable number.

77147040 is an abundant number, since it is smaller than the sum of its proper divisors (165867648).

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

77147040 is a wasteful number, since it uses less digits than its factorization.

77147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160741 (or 160733 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 77147040 is about 8783.3387729268. The cubic root of 77147040 is about 425.7027174954.

The spelling of 77147040 in words is "seventy-seven million, one hundred forty-seven thousand, forty".