78116220 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 15552000.

The previous prime is 78116219. The next prime is 78116221. The reversal of 78116220 is 2261187.

It is an interprime number because it is at equal distance from previous prime (78116219) and next prime (78116221).

It is a super-2 number, since 2×78116220² = 12204287654176800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78116221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311095 + ... + 311345.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^78116220 is an apocalyptic number.

78116220 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 78116220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

78116220 is an abundant number, since it is smaller than the sum of its proper divisors (230089860).

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

78116220 is a wasteful number, since it uses less digits than its factorization.

78116220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 78116220 is about 8838.3380790735. The cubic root of 78116220 is about 427.4779715745.

The spelling of 78116220 in words is "seventy-eight million, one hundred sixteen thousand, two hundred twenty".