77458920 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 15744000.

The previous prime is 77458907. The next prime is 77458921. The reversal of 77458920 is 2985477.

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

It is not an unprimeable number, because it can be changed into a prime (77458921) 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, 766870 + ... + 766970.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^77458920 is an apocalyptic number.

77458920 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 77458920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

77458920 is an abundant number, since it is smaller than the sum of its proper divisors (218651160).

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

77458920 is a wasteful number, since it uses less digits than its factorization.

77458920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 77458920 is about 8801.0749343475. The cubic root of 77458920 is about 426.2756046802.

The spelling of 77458920 in words is "seventy-seven million, four hundred fifty-eight thousand, nine hundred twenty".