78461334000 has 240 divisors, whose sum is σ = 313188258240. Its totient is φ = 17933990400.

The previous prime is 78461333999. The next prime is 78461334019. The reversal of 78461334000 is 43316487.

78461334000 is a `hidden beast` number, since 7 + 8 + 4 + 613 + 34 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 185355 + ... + 437354.

It is an arithmetic number, because the mean of its divisors is an integer number (1304951076).

Almost surely, 2^78461334000 is an apocalyptic number.

78461334000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78461334000 is an abundant number, since it is smaller than the sum of its proper divisors (234726924240).

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

78461334000 is a wasteful number, since it uses less digits than its factorization.

78461334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622745 (or 622726 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 78461334000 in words is "seventy-eight billion, four hundred sixty-one million, three hundred thirty-four thousand".