27776742 has 32 divisors (see below), whose sum is σ = 67226112. Its totient is φ = 7469184.

The previous prime is 27776741. The next prime is 27776743. The reversal of 27776742 is 24767772.

It is an interprime number because it is at equal distance from previous prime (27776741) and next prime (27776743).

It is a super-2 number, since 2×27776742² = 1543094792269128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27776694 and 27776703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27776741) 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, 18738 + ... + 20165.

It is an arithmetic number, because the mean of its divisors is an integer number (2100816).

Almost surely, 2^27776742 is an apocalyptic number.

27776742 is an abundant number, since it is smaller than the sum of its proper divisors (39449370).

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

27776742 is a wasteful number, since it uses less digits than its factorization.

27776742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38932.

The product of its digits is 230496, while the sum is 42.

The square root of 27776742 is about 5270.3645035235. The cubic root of 27776742 is about 302.8496678256.

The spelling of 27776742 in words is "twenty-seven million, seven hundred seventy-six thousand, seven hundred forty-two".