78655007025 has 81 divisors (see below), whose sum is σ = 163942028523. Its totient is φ = 35943112800.

The previous prime is 78655006973. The next prime is 78655007077. The reversal of 78655007025 is 52070055687.

The square root of 78655007025 is 280455.

It is a perfect power (a square), and thus also a powerful number.

78655007025 is a `hidden beast` number, since 7 + 8 + 6 + 550 + 0 + 70 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (78655006973) and next prime (78655007077).

It can be written as a sum of positive squares in only one way, i.e., 28315802529 + 50339204496 = 168273^2 + 224364^2 .

It is not a de Polignac number, because 78655007025 - 2¹¹ = 78655004977 is a prime.

It is a super-2 number, since 2×78655007025² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29446440 + ... + 29449110.

Almost surely, 2^78655007025 is an apocalyptic number.

78655007025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78655007025 is the 280455-th square number.

78655007025 is the 140228-th centered octagonal number.

It is an amenable number.

78655007025 is an abundant number, since it is smaller than the sum of its proper divisors (85287021498).

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

78655007025 is an equidigital number, since it uses as much as digits as its factorization.

78655007025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 78655007025 in words is "seventy-eight billion, six hundred fifty-five million, seven thousand, twenty-five".