77034672 has 320 divisors, whose sum is σ = 274982400. Its totient is φ = 20321280.

The previous prime is 77034653. The next prime is 77034677. The reversal of 77034672 is 27643077.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77034677) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1791483 + ... + 1791525.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^77034672 is an apocalyptic number.

77034672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

77034672 is an abundant number, since it is smaller than the sum of its proper divisors (197947728).

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

77034672 is a wasteful number, since it uses less digits than its factorization.

77034672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77034672 is about 8776.9397855973. The cubic root of 77034672 is about 425.4959322598.

The spelling of 77034672 in words is "seventy-seven million, thirty-four thousand, six hundred seventy-two".