77910690 has 144 divisors (see below), whose sum is σ = 224308224. Its totient is φ = 17297280.

The previous prime is 77910671. The next prime is 77910709. The reversal of 77910690 is 9601977.

It is an interprime number because it is at equal distance from previous prime (77910671) and next prime (77910709).

It is a super-2 number, since 2×77910690² = 12140151232552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 613407 + ... + 613533.

It is an arithmetic number, because the mean of its divisors is an integer number (1557696).

Almost surely, 2^77910690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77910690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112154112).

77910690 is an abundant number, since it is smaller than the sum of its proper divisors (146397534).

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

77910690 is a wasteful number, since it uses less digits than its factorization.

77910690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 77910690 is about 8826.7032350703. The cubic root of 77910690 is about 427.1027327509.

The spelling of 77910690 in words is "seventy-seven million, nine hundred ten thousand, six hundred ninety".