77907960 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 18455040.

The previous prime is 77907943. The next prime is 77907967. The reversal of 77907960 is 6970977.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77907967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435151 + ... + 435329.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^77907960 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 77907960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

77907960 is an abundant number, since it is smaller than the sum of its proper divisors (212396040).

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

77907960 is a wasteful number, since it uses less digits than its factorization.

77907960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 77907960 is about 8826.5485893411. The cubic root of 77907960 is about 427.0977441155.

The spelling of 77907960 in words is "seventy-seven million, nine hundred seven thousand, nine hundred sixty".