77949660 has 48 divisors (see below), whose sum is σ = 220209696. Its totient is φ = 20600832.

The previous prime is 77949659. The next prime is 77949689. The reversal of 77949660 is 6694977.

It is a super-2 number, since 2×77949660² = 12152298988231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (4587702).

Almost surely, 2^77949660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77949660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110104848).

77949660 is an abundant number, since it is smaller than the sum of its proper divisors (142260036).

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

77949660 is a wasteful number, since it uses less digits than its factorization.

77949660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 77949660 is about 8828.9104650574. The cubic root of 77949660 is about 427.1739314494.

The spelling of 77949660 in words is "seventy-seven million, nine hundred forty-nine thousand, six hundred sixty".