77395680 has 144 divisors (see below), whose sum is σ = 268186464. Its totient is φ = 20321280.

The previous prime is 77395651. The next prime is 77395687. The reversal of 77395680 is 8659377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (77395687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101862 + ... + 102618.

It is an arithmetic number, because the mean of its divisors is an integer number (1862406).

Almost surely, 2^77395680 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 77395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134093232).

77395680 is an abundant number, since it is smaller than the sum of its proper divisors (190790784).

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

77395680 is a wasteful number, since it uses less digits than its factorization.

77395680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 77395680 is about 8797.4814577810. The cubic root of 77395680 is about 426.1595646384.

The spelling of 77395680 in words is "seventy-seven million, three hundred ninety-five thousand, six hundred eighty".