77360940 has 48 divisors (see below), whose sum is σ = 240680160. Its totient is φ = 20629440.

The previous prime is 77360923. The next prime is 77360953. The reversal of 77360940 is 4906377.

77360940 is a `hidden beast` number, since 7 + 7 + 3 + 609 + 40 = 666.

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 = 77360895 and 77360904.

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, 71091 + ... + 72170.

It is an arithmetic number, because the mean of its divisors is an integer number (5014170).

Almost surely, 2^77360940 is an apocalyptic number.

It is an amenable number.

77360940 is an abundant number, since it is smaller than the sum of its proper divisors (163319220).

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

77360940 is a wasteful number, since it uses less digits than its factorization.

77360940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143279 (or 143271 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 77360940 is about 8795.5068074557. The cubic root of 77360940 is about 426.0957927804.

The spelling of 77360940 in words is "seventy-seven million, three hundred sixty thousand, nine hundred forty".