77829025 has 12 divisors (see below), whose sum is σ = 96636672. Its totient is φ = 62180240.

The previous prime is 77829001. The next prime is 77829049. The reversal of 77829025 is 52092877.

It is an interprime number because it is at equal distance from previous prime (77829001) and next prime (77829049).

It is not a de Polignac number, because 77829025 - 2¹¹ = 77826977 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22992 + ... + 26158.

It is an arithmetic number, because the mean of its divisors is an integer number (8053056).

Almost surely, 2^77829025 is an apocalyptic number.

It is an amenable number.

77829025 is a deficient number, since it is larger than the sum of its proper divisors (18807647).

77829025 is a wasteful number, since it uses less digits than its factorization.

77829025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 77829025 is about 8822.0760028465. The cubic root of 77829025 is about 426.9534526865.

It can be divided in two parts, 7782 and 9025, that added together give a 5-th power (16807 = 7⁵).

The spelling of 77829025 in words is "seventy-seven million, eight hundred twenty-nine thousand, twenty-five".