78302280 has 192 divisors, whose sum is σ = 280264320. Its totient is φ = 17141760.

The previous prime is 78302267. The next prime is 78302293. The reversal of 78302280 is 8220387.

It is an interprime number because it is at equal distance from previous prime (78302267) and next prime (78302293).

It is a super-2 number, since 2×78302280² = 12262494106396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807192 + ... + 807288.

It is an arithmetic number, because the mean of its divisors is an integer number (1459710).

Almost surely, 2^78302280 is an apocalyptic number.

78302280 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 78302280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

78302280 is an abundant number, since it is smaller than the sum of its proper divisors (201962040).

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

78302280 is a wasteful number, since it uses less digits than its factorization.

78302280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78302280 is about 8848.8575533794. The cubic root of 78302280 is about 427.8170965652.

The spelling of 78302280 in words is "seventy-eight million, three hundred two thousand, two hundred eighty".