78237563040 has 1188 divisors, whose sum is σ = 349236076014. Its totient is φ = 16507266048.

The previous prime is 78237563009. The next prime is 78237563051. The reversal of 78237563040 is 4036573287.

78237563040 is a `hidden beast` number, since 7 + 8 + 2 + 3 + 7 + 5 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33748629264 + 44488933776 = 183708^2 + 210924^2 .

It is a super-2 number, since 2×78237563040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 6018274074 + ... + 6018274086.

Almost surely, 2^78237563040 is an apocalyptic number.

78237563040 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 78237563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174618038007).

78237563040 is an abundant number, since it is smaller than the sum of its proper divisors (270998512974).

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

78237563040 is an equidigital number, since it uses as much as digits as its factorization.

78237563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 78237563040 in words is "seventy-eight billion, two hundred thirty-seven million, five hundred sixty-three thousand, forty".