78337280 has 108 divisors (see below), whose sum is σ = 218452500. Its totient is φ = 26836992.

The previous prime is 78337277. The next prime is 78337289. The reversal of 78337280 is 8273387.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 48219136 = 5488^2 + 6944^2 .

It is a super-2 number, since 2×78337280² = 12273458875596800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78337289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62096 + ... + 63344.

Almost surely, 2^78337280 is an apocalyptic number.

78337280 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 78337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226250).

78337280 is an abundant number, since it is smaller than the sum of its proper divisors (140115220).

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

78337280 is a wasteful number, since it uses less digits than its factorization.

78337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 78337280 is about 8850.8349888584. The cubic root of 78337280 is about 427.8808297794.

The spelling of 78337280 in words is "seventy-eight million, three hundred thirty-seven thousand, two hundred eighty".