46778760 has 192 divisors, whose sum is σ = 183081600. Its totient is φ = 10119168.

The previous prime is 46778749. The next prime is 46778773. The reversal of 46778760 is 6787764.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47392 + ... + 48368.

It is an arithmetic number, because the mean of its divisors is an integer number (953550).

Almost surely, 2^46778760 is an apocalyptic number.

46778760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 6839×6840.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46778760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91540800).

46778760 is an abundant number, since it is smaller than the sum of its proper divisors (136302840).

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

46778760 is a wasteful number, since it uses less digits than its factorization.

46778760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

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

The square root of 46778760 is about 6839.4999817238. The cubic root of 46778760 is about 360.3154642220.

The spelling of 46778760 in words is "forty-six million, seven hundred seventy-eight thousand, seven hundred sixty".