78897162240 has 768 divisors, whose sum is σ = 306885196800. Its totient is φ = 19349176320.

The previous prime is 78897162221. The next prime is 78897162263. The reversal of 78897162240 is 4226179887.

It is a happy number.

78897162240 is a `hidden beast` number, since 7 + 8 + 8 + 9 + 7 + 1 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291133305 + ... + 291133575.

It is an arithmetic number, because the mean of its divisors is an integer number (399590100).

Almost surely, 2^78897162240 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 78897162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153442598400).

78897162240 is an abundant number, since it is smaller than the sum of its proper divisors (227988034560).

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

78897162240 is an equidigital number, since it uses as much as digits as its factorization.

78897162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 78897162240 in words is "seventy-eight billion, eight hundred ninety-seven million, one hundred sixty-two thousand, two hundred forty".