78285770640 has 1440 divisors, whose sum is σ = 352693426176. Its totient is φ = 15206400000.

The previous prime is 78285770581. The next prime is 78285770653. The reversal of 78285770640 is 4607758287.

It is a happy number.

78285770640 is a `hidden beast` number, since 7 + 8 + 2 + 8 + 577 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×78285770640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 775106590 + ... + 775106690.

Almost surely, 2^78285770640 is an apocalyptic number.

78285770640 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 78285770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176346713088).

78285770640 is an abundant number, since it is smaller than the sum of its proper divisors (274407655536).

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

78285770640 is a wasteful number, since it uses less digits than its factorization.

78285770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 78285770640 in words is "seventy-eight billion, two hundred eighty-five million, seven hundred seventy thousand, six hundred forty".