77022960 has 240 divisors, whose sum is σ = 290267136. Its totient is φ = 16547328.

The previous prime is 77022949. The next prime is 77022973. The reversal of 77022960 is 6922077.

77022960 = 270² + 271² + ... + 630².

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606417 + ... + 606543.

Almost surely, 2^77022960 is an apocalyptic number.

77022960 is a gapful number since it is divisible by the number (70) 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 77022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145133568).

77022960 is an abundant number, since it is smaller than the sum of its proper divisors (213244176).

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

77022960 is a wasteful number, since it uses less digits than its factorization.

77022960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 77022960 is about 8776.2725572990. The cubic root of 77022960 is about 425.4743676803.

The spelling of 77022960 in words is "seventy-seven million, twenty-two thousand, nine hundred sixty".