78298470432 has 576 divisors, whose sum is σ = 294446880000. Its totient is φ = 19557199872.

The previous prime is 78298470401. The next prime is 78298470461. The reversal of 78298470432 is 23407489287.

It is a happy number.

78298470432 is a `hidden beast` number, since 7 + 82 + 98 + 47 + 0 + 432 = 666.

It is a super-2 number, since 2×78298470432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24398044 + ... + 24401252.

It is an arithmetic number, because the mean of its divisors is an integer number (511192500).

Almost surely, 2^78298470432 is an apocalyptic number.

78298470432 is a gapful number since it is divisible by the number (72) 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 78298470432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147223440000).

78298470432 is an abundant number, since it is smaller than the sum of its proper divisors (216148409568).

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

78298470432 is a wasteful number, since it uses less digits than its factorization.

78298470432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 78298470432 in words is "seventy-eight billion, two hundred ninety-eight million, four hundred seventy thousand, four hundred thirty-two".