78312407040 has 768 divisors, whose sum is σ = 322897760640. Its totient is φ = 17836277760.

The previous prime is 78312407039. The next prime is 78312407051. The reversal of 78312407040 is 4070421387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×78312407040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78312406986 and 78312407004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278691700 + ... + 278691980.

Almost surely, 2^78312407040 is an apocalyptic number.

78312407040 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 78312407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448880320).

78312407040 is an abundant number, since it is smaller than the sum of its proper divisors (244585353600).

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

78312407040 is an frugal number, since it uses more digits than its factorization.

78312407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 78312407040 in words is "seventy-eight billion, three hundred twelve million, four hundred seven thousand, forty".