77283305790 has 128 divisors (see below), whose sum is σ = 204862694400. Its totient is φ = 18571576320.

The previous prime is 77283305761. The next prime is 77283305833. The reversal of 77283305790 is 9750338277.

It is a super-4 number, since 4×77283305790⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2356626 + ... + 2389194.

It is an arithmetic number, because the mean of its divisors is an integer number (1600489800).

Almost surely, 2^77283305790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77283305790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102431347200).

77283305790 is an abundant number, since it is smaller than the sum of its proper divisors (127579388610).

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

77283305790 is a wasteful number, since it uses less digits than its factorization.

77283305790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32802.

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 77283305790 in words is "seventy-seven billion, two hundred eighty-three million, three hundred five thousand, seven hundred ninety".