78088084830 has 160 divisors (see below), whose sum is σ = 243004861440. Its totient is φ = 17622671040.

The previous prime is 78088084807. The next prime is 78088084831. The reversal of 78088084830 is 3848088087.

78088084830 is a `hidden beast` number, since 7 + 80 + 8 + 80 + 8 + 483 + 0 = 666.

It is a super-3 number, since 3×78088084830³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78088084831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360765 + ... + 535095.

It is an arithmetic number, because the mean of its divisors is an integer number (1518780384).

Almost surely, 2^78088084830 is an apocalyptic number.

78088084830 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78088084830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121502430720).

78088084830 is an abundant number, since it is smaller than the sum of its proper divisors (164916776610).

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

78088084830 is a wasteful number, since it uses less digits than its factorization.

78088084830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174436 (or 174427 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 78088084830 in words is "seventy-eight billion, eighty-eight million, eighty-four thousand, eight hundred thirty".