40077180 has 240 divisors, whose sum is σ = 148557024. Its totient is φ = 8916480.

The previous prime is 40077173. The next prime is 40077209. The reversal of 40077180 is 8177004.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 519 × 495 × 156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231574 + ... + 231746.

Almost surely, 2^40077180 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 40077180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74278512).

40077180 is an abundant number, since it is smaller than the sum of its proper divisors (108479844).

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

40077180 is a wasteful number, since it uses less digits than its factorization.

40077180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 40077180 is about 6330.6539946517. The cubic root of 40077180 is about 342.2150079219.

The spelling of 40077180 in words is "forty million, seventy-seven thousand, one hundred eighty".