77427090 has 224 divisors, whose sum is σ = 242383680. Its totient is φ = 17635968.

The previous prime is 77427079. The next prime is 77427101. The reversal of 77427090 is 9072477.

It is an interprime number because it is at equal distance from previous prime (77427079) and next prime (77427101).

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 111 ways as a sum of consecutive naturals, for example, 1800609 + ... + 1800651.

It is an arithmetic number, because the mean of its divisors is an integer number (1082070).

Almost surely, 2^77427090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77427090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121191840).

77427090 is an abundant number, since it is smaller than the sum of its proper divisors (164956590).

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

77427090 is a wasteful number, since it uses less digits than its factorization.

77427090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 77427090 is about 8799.2664466988. The cubic root of 77427090 is about 426.2172072249.

The spelling of 77427090 in words is "seventy-seven million, four hundred twenty-seven thousand, ninety".