77074112 has 56 divisors (see below), whose sum is σ = 159928560. Its totient is φ = 36807680.

The previous prime is 77074111. The next prime is 77074157. The reversal of 77074112 is 21147077.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (77074111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242978 + ... + 243294.

Almost surely, 2^77074112 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 77074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79964280).

77074112 is an abundant number, since it is smaller than the sum of its proper divisors (82854448).

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

77074112 is a wasteful number, since it uses less digits than its factorization.

77074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 77074112 is about 8779.1862948681. The cubic root of 77074112 is about 425.5685346176.

The spelling of 77074112 in words is "seventy-seven million, seventy-four thousand, one hundred twelve".