77013860 has 96 divisors (see below), whose sum is σ = 206502912. Its totient is φ = 23425920.

The previous prime is 77013857. The next prime is 77013899. The reversal of 77013860 is 6831077.

It is a happy number.

It is a super-2 number, since 2×77013860² = 11862269264199200, which contains 22 as substring.

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, 65639 + ... + 66801.

It is an arithmetic number, because the mean of its divisors is an integer number (2151072).

Almost surely, 2^77013860 is an apocalyptic number.

77013860 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 77013860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103251456).

77013860 is an abundant number, since it is smaller than the sum of its proper divisors (129489052).

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

77013860 is a wasteful number, since it uses less digits than its factorization.

77013860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 77013860 is about 8775.7540986516. The cubic root of 77013860 is about 425.4576109053.

The spelling of 77013860 in words is "seventy-seven million, thirteen thousand, eight hundred sixty".