77852880 has 320 divisors, whose sum is σ = 323788800. Its totient is φ = 16796160.

The previous prime is 77852867. The next prime is 77852893. The reversal of 77852880 is 8825877.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77852867) and next prime (77852893).

It is a super-2 number, since 2×77852880² = 12122141848588800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287145 + ... + 287415.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 2^77852880 is an apocalyptic number.

77852880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

77852880 is an abundant number, since it is smaller than the sum of its proper divisors (245935920).

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

77852880 is a wasteful number, since it uses less digits than its factorization.

77852880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 77852880 is about 8823.4279052985. The cubic root of 77852880 is about 426.9970693801.

The spelling of 77852880 in words is "seventy-seven million, eight hundred fifty-two thousand, eight hundred eighty".