6077678400 has 336 divisors, whose sum is σ = 22280270400. Its totient is φ = 1611601920.

The previous prime is 6077678389. The next prime is 6077678407. The reversal of 6077678400 is 48767706.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6077678407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11620539 + ... + 11621061.

Almost surely, 2^6077678400 is an apocalyptic number.

6077678400 is a gapful number since it is divisible by the number (60) 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 6077678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140135200).

6077678400 is an abundant number, since it is smaller than the sum of its proper divisors (16202592000).

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

6077678400 is a wasteful number, since it uses less digits than its factorization.

6077678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 6077678400 is about 77959.4663911959. The cubic root of 6077678400 is about 1824.9287168004.

The spelling of 6077678400 in words is "six billion, seventy-seven million, six hundred seventy-eight thousand, four hundred".