77305473 has 24 divisors (see below), whose sum is σ = 127902528. Its totient is φ = 44075232.

The previous prime is 77305457. The next prime is 77305493. The reversal of 77305473 is 37450377.

It is not a de Polignac number, because 77305473 - 2⁴ = 77305457 is a prime.

It is a super-2 number, since 2×77305473² = 11952272311507458, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77305493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33990 + ... + 36192.

It is an arithmetic number, because the mean of its divisors is an integer number (5329272).

Almost surely, 2^77305473 is an apocalyptic number.

It is an amenable number.

77305473 is a deficient number, since it is larger than the sum of its proper divisors (50597055).

77305473 is a wasteful number, since it uses less digits than its factorization.

77305473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 77305473 is about 8792.3530980051. The cubic root of 77305473 is about 425.9939329957.

It can be divided in two parts, 7730 and 5473, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 77305473 in words is "seventy-seven million, three hundred five thousand, four hundred seventy-three".