40077000 has 192 divisors, whose sum is σ = 139566960. Its totient is φ = 10368000.

The previous prime is 40076999. The next prime is 40077019. The reversal of 40077000 is 77004.

It can be written as a sum of positive squares in 8 ways, for example, as 311364 + 39765636 = 558^2 + 6306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548964 + ... + 549036.

Almost surely, 2^40077000 is an apocalyptic number.

40077000 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 40077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69783480).

40077000 is an abundant number, since it is smaller than the sum of its proper divisors (99489960).

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

40077000 is a wasteful number, since it uses less digits than its factorization.

40077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 40077000 is about 6330.6397780951. The cubic root of 40077000 is about 342.2144955871.

The spelling of 40077000 in words is "forty million, seventy-seven thousand".