77670240 has 96 divisors (see below), whose sum is σ = 247193856. Its totient is φ = 20497920.

The previous prime is 77670223. The next prime is 77670251. The reversal of 77670240 is 4207677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48655 + ... + 50225.

It is an arithmetic number, because the mean of its divisors is an integer number (2574936).

Almost surely, 2^77670240 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 77670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123596928).

77670240 is an abundant number, since it is smaller than the sum of its proper divisors (169523616).

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

77670240 is a wasteful number, since it uses less digits than its factorization.

77670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 77670240 is about 8813.0721090889. The cubic root of 77670240 is about 426.6629014425.

The spelling of 77670240 in words is "seventy-seven million, six hundred seventy thousand, two hundred forty".