77853834240 has 1056 divisors, whose sum is σ = 319121732160. Its totient is φ = 16052649984.

The previous prime is 77853834239. The next prime is 77853834241. The reversal of 77853834240 is 4243835877.

It is an interprime number because it is at equal distance from previous prime (77853834239) and next prime (77853834241).

It is a super-2 number, since 2×77853834240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77853834241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714255306 + ... + 714255414.

It is an arithmetic number, because the mean of its divisors is an integer number (302198610).

Almost surely, 2^77853834240 is an apocalyptic number.

77853834240 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 77853834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159560866080).

77853834240 is an abundant number, since it is smaller than the sum of its proper divisors (241267897920).

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

77853834240 is a wasteful number, since it uses less digits than its factorization.

77853834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 77853834240 in words is "seventy-seven billion, eight hundred fifty-three million, eight hundred thirty-four thousand, two hundred forty".