77848720 has 40 divisors (see below), whose sum is σ = 182113344. Its totient is φ = 30947712.

The previous prime is 77848697. The next prime is 77848723. The reversal of 77848720 is 2784877.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77848723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10447 + ... + 16273.

Almost surely, 2^77848720 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 77848720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056672).

77848720 is an abundant number, since it is smaller than the sum of its proper divisors (104264624).

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

77848720 is a wasteful number, since it uses less digits than its factorization.

77848720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The square root of 77848720 is about 8823.1921661041. The cubic root of 77848720 is about 426.9894638406.

The spelling of 77848720 in words is "seventy-seven million, eight hundred forty-eight thousand, seven hundred twenty".