77477472 has 120 divisors (see below), whose sum is σ = 231617232. Its totient is φ = 25401600.

The previous prime is 77477441. The next prime is 77477509. The reversal of 77477472 is 27477477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183822 + ... + 184242.

Almost surely, 2^77477472 is an apocalyptic number.

77477472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77477472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115808616).

77477472 is an abundant number, since it is smaller than the sum of its proper divisors (154139760).

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

77477472 is a wasteful number, since it uses less digits than its factorization.

77477472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its digits is 537824, while the sum is 45.

The square root of 77477472 is about 8802.1288334130. The cubic root of 77477472 is about 426.3096340458.

The spelling of 77477472 in words is "seventy-seven million, four hundred seventy-seven thousand, four hundred seventy-two".