78247008 has 144 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 21731328.

The previous prime is 78247003. The next prime is 78247033. The reversal of 78247008 is 80074287.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78247008² = 12245188521904128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (78247003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74068 + ... + 75116.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^78247008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78247008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

78247008 is an abundant number, since it is smaller than the sum of its proper divisors (183177792).

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

78247008 is a wasteful number, since it uses less digits than its factorization.

78247008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78247008 is about 8845.7338870215. The cubic root of 78247008 is about 427.7164103844.

The spelling of 78247008 in words is "seventy-eight million, two hundred forty-seven thousand, eight".