42777000 has 288 divisors, whose sum is σ = 169926120. Its totient is φ = 9676800.

The previous prime is 42776983. The next prime is 42777011. The reversal of 42777000 is 77724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11573604 + 31203396 = 3402^2 + 5586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440952 + ... + 441048.

Almost surely, 2^42777000 is an apocalyptic number.

42777000 is a gapful number since it is divisible by the number (40) 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 42777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963060).

42777000 is an abundant number, since it is smaller than the sum of its proper divisors (127149120).

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

42777000 is a wasteful number, since it uses less digits than its factorization.

42777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 42777000 is about 6540.4128310069. The cubic root of 42777000 is about 349.7331299003.

The spelling of 42777000 in words is "forty-two million, seven hundred seventy-seven thousand".