77453680 has 40 divisors (see below), whose sum is σ = 180457200. Its totient is φ = 30916608.

The previous prime is 77453659. The next prime is 77453681. The reversal of 77453680 is 8635477.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77453681) 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, 60891 + ... + 62149.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^77453680 is an apocalyptic number.

It is an amenable number.

77453680 is an abundant number, since it is smaller than the sum of its proper divisors (103003520).

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

77453680 is a wasteful number, since it uses less digits than its factorization.

77453680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 77453680 is about 8800.7772384034. Note that the first 3 decimals coincide. The cubic root of 77453680 is about 426.2659921245.

The spelling of 77453680 in words is "seventy-seven million, four hundred fifty-three thousand, six hundred eighty".