78247260 has 288 divisors, whose sum is σ = 310407552. Its totient is φ = 15482880.

The previous prime is 78247259. The next prime is 78247261. The reversal of 78247260 is 6274287.

It is an interprime number because it is at equal distance from previous prime (78247259) and next prime (78247261).

It is a super-2 number, since 2×78247260² = 12245267395015200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78247261) 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, 278320 + ... + 278600.

It is an arithmetic number, because the mean of its divisors is an integer number (1077804).

Almost surely, 2^78247260 is an apocalyptic number.

78247260 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 78247260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155203776).

78247260 is an abundant number, since it is smaller than the sum of its proper divisors (232160292).

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

78247260 is a wasteful number, since it uses less digits than its factorization.

78247260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 78247260 is about 8845.7481311645. The cubic root of 78247260 is about 427.7168695475.

The spelling of 78247260 in words is "seventy-eight million, two hundred forty-seven thousand, two hundred sixty".