77367240 has 96 divisors (see below), whose sum is σ = 264700800. Its totient is φ = 19543680.

The previous prime is 77367233. The next prime is 77367253. The reversal of 77367240 is 4276377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77367195 and 77367204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (2757300).

Almost surely, 2^77367240 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 77367240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132350400).

77367240 is an abundant number, since it is smaller than the sum of its proper divisors (187333560).

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

77367240 is a wasteful number, since it uses less digits than its factorization.

77367240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77367240 is about 8795.8649375715. The cubic root of 77367240 is about 426.1073590421.

The spelling of 77367240 in words is "seventy-seven million, three hundred sixty-seven thousand, two hundred forty".