78208777640448 has 1440 divisors, whose sum is σ = 288543045098880. Its totient is φ = 19955450511360.

The previous prime is 78208777640437. The next prime is 78208777640471. The reversal of 78208777640448 is 84404677780287.

78208777640448 is a `hidden beast` number, since 7 + 8 + 2 + 0 + 8 + 77 + 76 + 40 + 448 = 666.

It is a super-2 number, since 2×78208777640448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25550072838 + ... + 25550075898.

It is an arithmetic number, because the mean of its divisors is an integer number (200377114652).

Almost surely, 2^{78208777640448} is an apocalyptic number.

78208777640448 is a gapful number since it is divisible by the number (78) 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 78208777640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144271522549440).

78208777640448 is an abundant number, since it is smaller than the sum of its proper divisors (210334267458432).

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

78208777640448 is a wasteful number, since it uses less digits than its factorization.

78208777640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 944111616, while the sum is 72.

The spelling of 78208777640448 in words is "seventy-eight trillion, two hundred eight billion, seven hundred seventy-seven million, six hundred forty thousand, four hundred forty-eight".