77893416 has 24 divisors (see below), whose sum is σ = 210961530. Its totient is φ = 25964448.

The previous prime is 77893397. The next prime is 77893427. The reversal of 77893416 is 61439877.

It can be written as a sum of positive squares in only one way, i.e., 60000516 + 17892900 = 7746^2 + 4230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×77893416² = 12134768512298112, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 540855 + ... + 540998.

Almost surely, 2^77893416 is an apocalyptic number.

It is an amenable number.

77893416 is an abundant number, since it is smaller than the sum of its proper divisors (133068114).

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

77893416 is a wasteful number, since it uses less digits than its factorization.

77893416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081865 (or 1081858 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77893416 is about 8825.7246727960. The cubic root of 77893416 is about 427.0711653330.

The spelling of 77893416 in words is "seventy-seven million, eight hundred ninety-three thousand, four hundred sixteen".