77729490 has 32 divisors (see below), whose sum is σ = 207279360. Its totient is φ = 20727792.

The previous prime is 77729479. The next prime is 77729501. The reversal of 77729490 is 9492777.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77729479) and next prime (77729501).

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

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 143674 + ... + 144213.

It is an arithmetic number, because the mean of its divisors is an integer number (6477480).

Almost surely, 2^77729490 is an apocalyptic number.

77729490 is an abundant number, since it is smaller than the sum of its proper divisors (129549870).

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

77729490 is a wasteful number, since it uses less digits than its factorization.

77729490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287903 (or 287897 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 77729490 is about 8816.4329521638. The cubic root of 77729490 is about 426.7713657719.

The spelling of 77729490 in words is "seventy-seven million, seven hundred twenty-nine thousand, four hundred ninety".