77430640 has 120 divisors (see below), whose sum is σ = 213548832. Its totient is φ = 25574400.

The previous prime is 77430629. The next prime is 77430679. The reversal of 77430640 is 4603477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766590 + ... + 766690.

Almost surely, 2^77430640 is an apocalyptic number.

77430640 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 77430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106774416).

77430640 is an abundant number, since it is smaller than the sum of its proper divisors (136118192).

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

77430640 is a wasteful number, since it uses less digits than its factorization.

77430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 77430640 is about 8799.4681657473. The cubic root of 77430640 is about 426.2237210861.

The spelling of 77430640 in words is "seventy-seven million, four hundred thirty thousand, six hundred forty".