77612240 has 40 divisors (see below), whose sum is σ = 181893120. Its totient is φ = 30796416.

The previous prime is 77612237. The next prime is 77612263. The reversal of 77612240 is 4221677.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6341 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (4547328).

Almost surely, 2^77612240 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 77612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90946560).

77612240 is an abundant number, since it is smaller than the sum of its proper divisors (104280880).

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

77612240 is a wasteful number, since it uses less digits than its factorization.

77612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 77612240 is about 8809.7809280367. The cubic root of 77612240 is about 426.5566719496.

It can be divided in two parts, 7761 and 2240, that added together give a palindrome (10001).

The spelling of 77612240 in words is "seventy-seven million, six hundred twelve thousand, two hundred forty".