78283920000 has 640 divisors, whose sum is σ = 305404989120. Its totient is φ = 17510400000.

The previous prime is 78283919999. The next prime is 78283920019. The reversal of 78283920000 is 2938287.

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

It is a super-2 number, since 2×78283920000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 34318860 + ... + 34321140.

Almost surely, 2^78283920000 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 78283920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152702494560).

78283920000 is an abundant number, since it is smaller than the sum of its proper divisors (227121069120).

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

78283920000 is a wasteful number, since it uses less digits than its factorization.

78283920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 78283920000 in words is "seventy-eight billion, two hundred eighty-three million, nine hundred twenty thousand".