77070672 has 120 divisors (see below), whose sum is σ = 248583296. Its totient is φ = 21835008.

The previous prime is 77070649. The next prime is 77070683. The reversal of 77070672 is 27607077.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158013 + ... + 158499.

Almost surely, 2^77070672 is an apocalyptic number.

77070672 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 77070672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124291648).

77070672 is an abundant number, since it is smaller than the sum of its proper divisors (171512624).

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

77070672 is a wasteful number, since it uses less digits than its factorization.

77070672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 77070672 is about 8778.9903747527. The cubic root of 77070672 is about 425.5622031465.

The spelling of 77070672 in words is "seventy-seven million, seventy thousand, six hundred seventy-two".