77938540 has 48 divisors (see below), whose sum is σ = 177557184. Its totient is φ = 28620800.

The previous prime is 77938463. The next prime is 77938543. The reversal of 77938540 is 4583977.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77938543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11145 + ... + 16735.

It is an arithmetic number, because the mean of its divisors is an integer number (3699108).

Almost surely, 2^77938540 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 77938540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88778592).

77938540 is an abundant number, since it is smaller than the sum of its proper divisors (99618644).

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

77938540 is a wasteful number, since it uses less digits than its factorization.

77938540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 77938540 is about 8828.2806933174. The cubic root of 77938540 is about 427.1536174844.

The spelling of 77938540 in words is "seventy-seven million, nine hundred thirty-eight thousand, five hundred forty".