77854560 has 384 divisors, whose sum is σ = 313528320. Its totient is φ = 15826944.

The previous prime is 77854541. The next prime is 77854561. The reversal of 77854560 is 6545877.

It is a super-2 number, since 2×77854560² = 12122665025587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77854561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1656457 + ... + 1656503.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^77854560 is an apocalyptic number.

77854560 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 77854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

77854560 is an abundant number, since it is smaller than the sum of its proper divisors (235673760).

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

77854560 is a wasteful number, since it uses less digits than its factorization.

77854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 77854560 is about 8823.5231058801. The cubic root of 77854560 is about 427.0001407711. Note that the first 3 decimals are identical.

The spelling of 77854560 in words is "seventy-seven million, eight hundred fifty-four thousand, five hundred sixty".