78293952000 has 800 divisors, whose sum is σ = 318385720224. Its totient is φ = 18966528000.

The previous prime is 78293951993. The next prime is 78293952007. The reversal of 78293952000 is 25939287.

78293952000 is a `hidden beast` number, since 78 + 29 + 39 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78293951993) and next prime (78293952007).

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×78293952000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78293952007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023314 + ... + 57024686.

Almost surely, 2^78293952000 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 78293952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159192860112).

78293952000 is an abundant number, since it is smaller than the sum of its proper divisors (240091768224).

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

78293952000 is a wasteful number, since it uses less digits than its factorization.

78293952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 78293952000 in words is "seventy-eight billion, two hundred ninety-three million, nine hundred fifty-two thousand".