77937472 has 56 divisors (see below), whose sum is σ = 161292032. Its totient is φ = 37324800.

The previous prime is 77937451. The next prime is 77937473. The reversal of 77937472 is 27473977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77937473) 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, 323272 + ... + 323512.

Almost surely, 2^77937472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77937472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80646016).

77937472 is an abundant number, since it is smaller than the sum of its proper divisors (83354560).

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

77937472 is a wasteful number, since it uses less digits than its factorization.

77937472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 518616, while the sum is 46.

The square root of 77937472 is about 8828.2202056813. The cubic root of 77937472 is about 427.1516663651.

The spelling of 77937472 in words is "seventy-seven million, nine hundred thirty-seven thousand, four hundred seventy-two".