77138025 has 24 divisors (see below), whose sum is σ = 128366784. Its totient is φ = 40872000.

The previous prime is 77138023. The next prime is 77138029. The reversal of 77138025 is 52083177.

It is not a de Polignac number, because 77138025 - 2¹ = 77138023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77138023) 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, 8500 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (5348616).

Almost surely, 2^77138025 is an apocalyptic number.

77138025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77138025 is a deficient number, since it is larger than the sum of its proper divisors (51228759).

77138025 is a wasteful number, since it uses less digits than its factorization.

77138025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 77138025 is about 8782.8255703959. The cubic root of 77138025 is about 425.6861350511.

The spelling of 77138025 in words is "seventy-seven million, one hundred thirty-eight thousand, twenty-five".