78412302720 has 640 divisors, whose sum is σ = 294312268800. Its totient is φ = 19868405760.

The previous prime is 78412302697. The next prime is 78412302803. The reversal of 78412302720 is 2720321487.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×78412302720² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94814947 + ... + 94815773.

It is an arithmetic number, because the mean of its divisors is an integer number (459862920).

Almost surely, 2^78412302720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78412302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147156134400).

78412302720 is an abundant number, since it is smaller than the sum of its proper divisors (215899966080).

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

78412302720 is a wasteful number, since it uses less digits than its factorization.

78412302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 927 counting only the distinct ones).

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

The spelling of 78412302720 in words is "seventy-eight billion, four hundred twelve million, three hundred two thousand, seven hundred twenty".