77141900 has 72 divisors (see below), whose sum is σ = 192279360. Its totient is φ = 26568000.

The previous prime is 77141887. The next prime is 77141921. The reversal of 77141900 is 914177.

It is a super-2 number, since 2×77141900² = 11901745471220000, which contains 22 as substring.

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, 19055 + ... + 22745.

Almost surely, 2^77141900 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 77141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96139680).

77141900 is an abundant number, since it is smaller than the sum of its proper divisors (115137460).

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

77141900 is a wasteful number, since it uses less digits than its factorization.

77141900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 77141900 is about 8783.0461686137. The cubic root of 77141900 is about 425.6932629933.

The spelling of 77141900 in words is "seventy-seven million, one hundred forty-one thousand, nine hundred".