78105234825 has 96 divisors (see below), whose sum is σ = 150090393600. Its totient is φ = 39746583360.

The previous prime is 78105234803. The next prime is 78105234859. The reversal of 78105234825 is 52843250187.

78105234825 is a `hidden beast` number, since 7 + 81 + 0 + 523 + 48 + 2 + 5 = 666.

It is not a de Polignac number, because 78105234825 - 2⁶ = 78105234761 is a prime.

It is a super-2 number, since 2×78105234825² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6498972 + ... + 6510978.

It is an arithmetic number, because the mean of its divisors is an integer number (1563441600).

Almost surely, 2^78105234825 is an apocalyptic number.

78105234825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78105234825 is a deficient number, since it is larger than the sum of its proper divisors (71985158775).

78105234825 is a wasteful number, since it uses less digits than its factorization.

78105234825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12468 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 78105234825 in words is "seventy-eight billion, one hundred five million, two hundred thirty-four thousand, eight hundred twenty-five".