77227040 has 72 divisors (see below), whose sum is σ = 200593260. Its totient is φ = 28075520.

The previous prime is 77227013. The next prime is 77227043. The reversal of 77227040 is 4072277.

It can be written as a sum of positive squares in 2 ways, for example, as 76667536 + 559504 = 8756^2 + 748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77226994 and 77227012.

It is not an unprimeable number, because it can be changed into a prime (77227043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17366 + ... + 21354.

Almost surely, 2^77227040 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 77227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100296630).

77227040 is an abundant number, since it is smaller than the sum of its proper divisors (123366220).

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

77227040 is a wasteful number, since it uses less digits than its factorization.

77227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 77227040 is about 8787.8916697920. The cubic root of 77227040 is about 425.8498151775.

The spelling of 77227040 in words is "seventy-seven million, two hundred twenty-seven thousand, forty".