77883960 has 128 divisors (see below), whose sum is σ = 291340800. Its totient is φ = 16181760.

The previous prime is 77883943. The next prime is 77883991. The reversal of 77883960 is 6938877.

It is a super-2 number, since 2×77883960² = 12131822450563200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5026 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (2276100).

Almost surely, 2^77883960 is an apocalyptic number.

77883960 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 77883960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145670400).

77883960 is an abundant number, since it is smaller than the sum of its proper divisors (213456840).

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

77883960 is a wasteful number, since it uses less digits than its factorization.

77883960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 77883960 is about 8825.1889498186. The cubic root of 77883960 is about 427.0538829636.

The spelling of 77883960 in words is "seventy-seven million, eight hundred eighty-three thousand, nine hundred sixty".