77486112 has 192 divisors, whose sum is σ = 255467520. Its totient is φ = 22636800.

The previous prime is 77486099. The next prime is 77486113. The reversal of 77486112 is 21168477.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77486113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294493 + ... + 294755.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^77486112 is an apocalyptic number.

77486112 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 77486112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

77486112 is an abundant number, since it is smaller than the sum of its proper divisors (177981408).

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

77486112 is a wasteful number, since it uses less digits than its factorization.

77486112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 77486112 is about 8802.6196100933. The cubic root of 77486112 is about 426.3254802793.

The spelling of 77486112 in words is "seventy-seven million, four hundred eighty-six thousand, one hundred twelve".