77097825 has 144 divisors (see below), whose sum is σ = 171516800. Its totient is φ = 34292160.

The previous prime is 77097809. The next prime is 77097841. The reversal of 77097825 is 52879077.

It is an interprime number because it is at equal distance from previous prime (77097809) and next prime (77097841).

It is not a de Polignac number, because 77097825 - 2⁴ = 77097809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2083707 + ... + 2083743.

Almost surely, 2^77097825 is an apocalyptic number.

77097825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77097825 is an abundant number, since it is smaller than the sum of its proper divisors (94418975).

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

77097825 is an equidigital number, since it uses as much as digits as its factorization.

77097825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 77097825 is about 8780.5367148028. The cubic root of 77097825 is about 425.6121743113.

The spelling of 77097825 in words is "seventy-seven million, ninety-seven thousand, eight hundred twenty-five".