77121825 has 24 divisors (see below), whose sum is σ = 139101216. Its totient is φ = 37392000.

The previous prime is 77121823. The next prime is 77121827. The reversal of 77121825 is 52812177.

It is an interprime number because it is at equal distance from previous prime (77121823) and next prime (77121827).

It is not a de Polignac number, because 77121825 - 2¹ = 77121823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77121823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45916 + ... + 47565.

It is an arithmetic number, because the mean of its divisors is an integer number (5795884).

Almost surely, 2^77121825 is an apocalyptic number.

77121825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77121825 is a deficient number, since it is larger than the sum of its proper divisors (61979391).

77121825 is a wasteful number, since it uses less digits than its factorization.

77121825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93505 (or 93500 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 77121825 is about 8781.9032675155. The cubic root of 77121825 is about 425.6563330686.

The spelling of 77121825 in words is "seventy-seven million, one hundred twenty-one thousand, eight hundred twenty-five".