77493780 has 384 divisors, whose sum is σ = 316108800. Its totient is φ = 15303168.

The previous prime is 77493733. The next prime is 77493809. The reversal of 77493780 is 8739477.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933619 + ... + 933701.

It is an arithmetic number, because the mean of its divisors is an integer number (823200).

Almost surely, 2^77493780 is an apocalyptic number.

77493780 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 77493780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

77493780 is an abundant number, since it is smaller than the sum of its proper divisors (238615020).

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

77493780 is a wasteful number, since it uses less digits than its factorization.

77493780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 77493780 is about 8803.0551514801. The cubic root of 77493780 is about 426.3395428249.

The spelling of 77493780 in words is "seventy-seven million, four hundred ninety-three thousand, seven hundred eighty".