78090210432 has 320 divisors, whose sum is σ = 252158167800. Its totient is φ = 23846731776.

The previous prime is 78090210431. The next prime is 78090210437. The reversal of 78090210432 is 23401209087.

78090210432 is a `hidden beast` number, since 7 + 8 + 0 + 9 + 0 + 210 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75528230976 + 2561979456 = 274824^2 + 50616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78090210431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18463294 + ... + 18467522.

Almost surely, 2^78090210432 is an apocalyptic number.

78090210432 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 78090210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126079083900).

78090210432 is an abundant number, since it is smaller than the sum of its proper divisors (174067957368).

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

78090210432 is a wasteful number, since it uses less digits than its factorization.

78090210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78090210432 in words is "seventy-eight billion, ninety million, two hundred ten thousand, four hundred thirty-two".