77442080 has 48 divisors (see below), whose sum is σ = 183544704. Its totient is φ = 30877440.

The previous prime is 77442077. The next prime is 77442083. The reversal of 77442080 is 8024477.

It is an interprime number because it is at equal distance from previous prime (77442077) and next prime (77442083).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (77442083) by changing a digit.

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, 68399 + ... + 69521.

It is an arithmetic number, because the mean of its divisors is an integer number (3823848).

Almost surely, 2^77442080 is an apocalyptic number.

It is an amenable number.

77442080 is an abundant number, since it is smaller than the sum of its proper divisors (106102624).

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

77442080 is a wasteful number, since it uses less digits than its factorization.

77442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 77442080 is about 8800.1181810246. The cubic root of 77442080 is about 426.2447108788.

The spelling of 77442080 in words is "seventy-seven million, four hundred forty-two thousand, eighty".