1378058000 has 80 divisors (see below), whose sum is σ = 3635124480. Its totient is φ = 501104000.

The previous prime is 1378057999. The next prime is 1378058009. The reversal of 1378058000 is 8508731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1378058000³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378058009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9320 + ... + 53319.

It is an arithmetic number, because the mean of its divisors is an integer number (45439056).

Almost surely, 2^1378058000 is an apocalyptic number.

1378058000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378058000 is an abundant number, since it is smaller than the sum of its proper divisors (2257066480).

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

1378058000 is a wasteful number, since it uses less digits than its factorization.

1378058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62673 (or 62657 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 1378058000 is about 37122.2035983857. The cubic root of 1378058000 is about 1112.8137902035.

The spelling of 1378058000 in words is "one billion, three hundred seventy-eight million, fifty-eight thousand".