77114730 has 192 divisors, whose sum is σ = 248209920. Its totient is φ = 15120000.

The previous prime is 77114717. The next prime is 77114753. The reversal of 77114730 is 3741177.

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

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 307105 + ... + 307355.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^77114730 is an apocalyptic number.

77114730 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 77114730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

77114730 is an abundant number, since it is smaller than the sum of its proper divisors (171095190).

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

77114730 is a wasteful number, since it uses less digits than its factorization.

77114730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 77114730 is about 8781.4993025109. The cubic root of 77114730 is about 425.6432795899.

It can be divided in two parts, 771147 and 30, that added together give a palindrome (771177).

The spelling of 77114730 in words is "seventy-seven million, one hundred fourteen thousand, seven hundred thirty".