78467257792000 has 960 divisors, whose sum is σ = 259097884531200. Its totient is φ = 23393728512000.

The previous prime is 78467257791919. The next prime is 78467257792019. The reversal of 78467257792000 is 29775276487.

It is a super-2 number, since 2×78467257792000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 793358551 + ... + 793457449.

It is an arithmetic number, because the mean of its divisors is an integer number (269893629720).

Almost surely, 2^{78467257792000} is an apocalyptic number.

78467257792000 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 78467257792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548942265600).

78467257792000 is an abundant number, since it is smaller than the sum of its proper divisors (180630626739200).

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

78467257792000 is a wasteful number, since it uses less digits than its factorization.

78467257792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98980 (or 98947 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 64.

The spelling of 78467257792000 in words is "seventy-eight trillion, four hundred sixty-seven billion, two hundred fifty-seven million, seven hundred ninety-two thousand".