77893920 has 384 divisors, whose sum is σ = 313286400. Its totient is φ = 17915904.

The previous prime is 77893919. The next prime is 77893931. The reversal of 77893920 is 2939877.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067004 + ... + 1067076.

It is an arithmetic number, because the mean of its divisors is an integer number (815850).

Almost surely, 2^77893920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

77893920 is an abundant number, since it is smaller than the sum of its proper divisors (235392480).

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

77893920 is a wasteful number, since it uses less digits than its factorization.

77893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 77893920 is about 8825.7532256460. The cubic root of 77893920 is about 427.0720864353.

The spelling of 77893920 in words is "seventy-seven million, eight hundred ninety-three thousand, nine hundred twenty".