77273112 has 64 divisors (see below), whose sum is σ = 221575680. Its totient is φ = 21998592.

The previous prime is 77273059. The next prime is 77273113. The reversal of 77273112 is 21137277.

It is a super-2 number, since 2×77273112² = 11942267676329088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 77273112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77273113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58653 + ... + 59955.

It is an arithmetic number, because the mean of its divisors is an integer number (3462120).

Almost surely, 2^77273112 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 77273112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110787840).

77273112 is an abundant number, since it is smaller than the sum of its proper divisors (144302568).

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

77273112 is a wasteful number, since it uses less digits than its factorization.

77273112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1668 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 77273112 is about 8790.5126130391. The cubic root of 77273112 is about 425.9344826395.

The spelling of 77273112 in words is "seventy-seven million, two hundred seventy-three thousand, one hundred twelve".