77803890 has 64 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 20163584.

The previous prime is 77803877. The next prime is 77803969. The reversal of 77803890 is 9830877.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199816 + ... + 200204.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2^77803890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77803890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

77803890 is an abundant number, since it is smaller than the sum of its proper divisors (114263310).

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

77803890 is a wasteful number, since it uses less digits than its factorization.

77803890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 77803890 is about 8820.6513364944. The cubic root of 77803890 is about 426.9074859858.

It can be divided in two parts, 778038 and 90, that added together give a triangular number (778128 = T₁₂₄₇).

The spelling of 77803890 in words is "seventy-seven million, eight hundred three thousand, eight hundred ninety".