77046880 has 48 divisors (see below), whose sum is σ = 182652624. Its totient is φ = 30712320.

The previous prime is 77046859. The next prime is 77046899. The reversal of 77046880 is 8864077.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 59035 + ... + 60325.

It is an arithmetic number, because the mean of its divisors is an integer number (3805263).

Almost surely, 2^77046880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91326312).

77046880 is an abundant number, since it is smaller than the sum of its proper divisors (105605744).

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

77046880 is a wasteful number, since it uses less digits than its factorization.

77046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 77046880 is about 8777.6352168451. The cubic root of 77046880 is about 425.5184077670.

The spelling of 77046880 in words is "seventy-seven million, forty-six thousand, eight hundred eighty".