77873620 has 48 divisors (see below), whose sum is σ = 179137728. Its totient is φ = 28200960.

The previous prime is 77873599. The next prime is 77873629. The reversal of 77873620 is 2637877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77873629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66964 + ... + 68116.

It is an arithmetic number, because the mean of its divisors is an integer number (3732036).

Almost surely, 2^77873620 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 77873620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89568864).

77873620 is an abundant number, since it is smaller than the sum of its proper divisors (101264108).

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

77873620 is a wasteful number, since it uses less digits than its factorization.

77873620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 77873620 is about 8824.6031072224. The cubic root of 77873620 is about 427.0349833401.

The spelling of 77873620 in words is "seventy-seven million, eight hundred seventy-three thousand, six hundred twenty".