77451330 has 128 divisors (see below), whose sum is σ = 214327296. Its totient is φ = 17740800.

The previous prime is 77451329. The next prime is 77451349. The reversal of 77451330 is 3315477.

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

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 63 ways as a sum of consecutive naturals, for example, 685354 + ... + 685466.

It is an arithmetic number, because the mean of its divisors is an integer number (1674432).

Almost surely, 2^77451330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77451330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107163648).

77451330 is an abundant number, since it is smaller than the sum of its proper divisors (136875966).

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

77451330 is a wasteful number, since it uses less digits than its factorization.

77451330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 77451330 is about 8800.6437264555. The cubic root of 77451330 is about 426.2616810093.

The spelling of 77451330 in words is "seventy-seven million, four hundred fifty-one thousand, three hundred thirty".