77879070 has 72 divisors (see below), whose sum is σ = 210439944. Its totient is φ = 20750256.

The previous prime is 77879033. The next prime is 77879077. The reversal of 77879070 is 7097877.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77879077) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 65017 + ... + 66203.

It is an arithmetic number, because the mean of its divisors is an integer number (2922777).

Almost surely, 2^77879070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77879070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105219972).

77879070 is an abundant number, since it is smaller than the sum of its proper divisors (132560874).

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

77879070 is an equidigital number, since it uses as much as digits as its factorization.

77879070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The square root of 77879070 is about 8824.9118975772. The cubic root of 77879070 is about 427.0449451490.

The spelling of 77879070 in words is "seventy-seven million, eight hundred seventy-nine thousand, seventy".