77890470 has 64 divisors (see below), whose sum is σ = 215018496. Its totient is φ = 17688960.

The previous prime is 77890469. The next prime is 77890471. The reversal of 77890470 is 7409877.

It is an interprime number because it is at equal distance from previous prime (77890469) and next prime (77890471).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77890471) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33960 + ... + 36180.

It is an arithmetic number, because the mean of its divisors is an integer number (3359664).

Almost surely, 2^77890470 is an apocalyptic number.

77890470 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 77890470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107509248).

77890470 is an abundant number, since it is smaller than the sum of its proper divisors (137128026).

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

77890470 is a wasteful number, since it uses less digits than its factorization.

77890470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405.

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 77890470 is about 8825.5577727416. The cubic root of 77890470 is about 427.0657811915.

The spelling of 77890470 in words is "seventy-seven million, eight hundred ninety thousand, four hundred seventy".