78398268480 has 672 divisors, whose sum is σ = 314601880320. Its totient is φ = 17550950400.

The previous prime is 78398268461. The next prime is 78398268491. The reversal of 78398268480 is 8486289387.

78398268480 is a `hidden beast` number, since 7 + 8 + 3 + 98 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×78398268480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283026102 + ... + 283026378.

It is an arithmetic number, because the mean of its divisors is an integer number (468157560).

Almost surely, 2^78398268480 is an apocalyptic number.

78398268480 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 78398268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157300940160).

78398268480 is an abundant number, since it is smaller than the sum of its proper divisors (236203611840).

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

78398268480 is a wasteful number, since it uses less digits than its factorization.

78398268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 78398268480 in words is "seventy-eight billion, three hundred ninety-eight million, two hundred sixty-eight thousand, four hundred eighty".