77441070 has 96 divisors (see below), whose sum is σ = 218332800. Its totient is φ = 17527104.

The previous prime is 77441053. The next prime is 77441081. The reversal of 77441070 is 7014477.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 204141 + ... + 204519.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2^77441070 is an apocalyptic number.

77441070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77441070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109166400).

77441070 is an abundant number, since it is smaller than the sum of its proper divisors (140891730).

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

77441070 is a wasteful number, since it uses less digits than its factorization.

77441070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 77441070 is about 8800.0607952445. The cubic root of 77441070 is about 426.2428578422.

The spelling of 77441070 in words is "seventy-seven million, four hundred forty-one thousand, seventy".