77919000 has 128 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 19670400.

The previous prime is 77918993. The next prime is 77919001. The reversal of 77919000 is 91977.

It is a super-2 number, since 2×77919000² = 12142741122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77919001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56317 + ... + 57683.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 2^77919000 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 77919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

77919000 is an abundant number, since it is smaller than the sum of its proper divisors (178170600).

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

77919000 is a wasteful number, since it uses less digits than its factorization.

77919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 33.

The square root of 77919000 is about 8827.1739531970. The cubic root of 77919000 is about 427.1179172206.

The spelling of 77919000 in words is "seventy-seven million, nine hundred nineteen thousand".