42779772 has 96 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 12035520.

The previous prime is 42779761. The next prime is 42779809. The reversal of 42779772 is 27797724.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53278 + ... + 54074.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^42779772 is an apocalyptic number.

42779772 is a gapful number since it is divisible by the number (42) 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 42779772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

42779772 is an abundant number, since it is smaller than the sum of its proper divisors (85921668).

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

42779772 is a wasteful number, since it uses less digits than its factorization.

42779772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 42779772 is about 6540.6247408027. The cubic root of 42779772 is about 349.7406841101.

The spelling of 42779772 in words is "forty-two million, seven hundred seventy-nine thousand, seven hundred seventy-two".